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TWO-DIMENSIONAL PARTIAL ELLIPTIC DIFFERENTIAL EQUATIONS IN MAPLE Alexei V. Tikhonenko General Physics Department, State Technical University of Nuclear Power Engineering, Obninsk, Russia futureprint@obninsk.com This work introduces functional programming method in MAPLE for boundary problem solving of two-dimensional partial elliptic differential equations in polar coordinates.
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">1. Introduction</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">1.1. Two-dimensional Laplace's equation in polar coordinates</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYmLUYsNiVRKHJlc3RhcnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRitGPEY/RkJGK0Y8Rj9GQg== Solution of boundary-value problem for Laplace's equation \316\224u = 0 for circle and ring can be solved by the variable separation method. For this purpose we will use "VectorCalculus" package 0 < r < \342\210\236, 0 < \317\206 < 2\317\200, 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 and polar coordinate system: 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 JkkmcG9sYXJHSShfc3lzbGliRzYiNiRJInJHRiVJKSZ2YXJwaGk7R0Yl So programming of Laplace's equation in these coordinates gives: 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 LywoKiZJInJHNiIhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJjYkRiVJKSZ2YXJwaGk7R0YmRiUiIiJGMC1GKTYkRihGJUYwKiYpRiUiIiNGJy1GKTYkLUYpNiRGLEYvRi9GMEYwIiIh
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">1.2. Variable separation and general solution</Font></Text-field> Laplace's equation admits the variable separation and with MAPLE aids we will have separated equations: 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 LUksUERFU29sU3RydWNHJSpwcm90ZWN0ZWRHNiQvLUkidUc2IjYkSSJyR0YpSSkmdmFycGhpO0dGKSomLUkiUkdGKTYjRisiIiItSSRQaGlHRik2I0YsRjE3IzwkLy1JJWRpZmZHRiQ2JC1GOTYkRi5GK0YrLCYqKClGKyIiIyEiIkYuRjEmSSNfY0c2JEYkSShfc3lzbGliR0YpNiNGMUYxRjEqJkY7RjFGK0ZBRkEvLUY5NiQtRjk2JEYyRixGLCwkKiZGMkYxRkJGMUZB After constant replacement LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEkX2MxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUY2Ni1RIj1GJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5GU0Y1LUklbXN1cEdGJDYlLUYsNiVRIm5GJ0YvRjItRiM2Ji1JI21uR0YkNiRRIjJGJ0Y5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GOS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGW29GXm9GOQ== L0kkX2MxRzYiKiQpSSJuR0YkIiIjIiIi we will solve separated equations. Angular equation: 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 Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JJFBoaUc2IjYjSSkmdmFycGhpO0dGK0YtRi0sJComRikiIiIpSSJuR0YrIiIjRjAhIiI= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnZHNvbHZlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiYtSSVtc3ViR0YkNiUtRiw2JVEkT0RFRidGL0YyLUYjNiYtRiw2JVEnJiM5NjY7RicvRjBRJmZhbHNlRicvRjNRJ25vcm1hbEYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRkZGRy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRklGTEZHRkdGSUZMRkc= Ly1JJFBoaUc2IjYjSSkmdmFycGhpO0dGJSwmKiZJJF9DMUdGJSIiIi1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjKiZJIm5HRiVGK0YnRitGK0YrKiZJJF9DMkdGJUYrLUkkY29zR0YuRjFGK0Yr Solution for angular function \316\246(\317\206) will satisfy to periodicity condition with integer n. Radial equation: a) n \342\211\240 0: 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 Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JIlJHNiI2I0kickdGK0YtRi0sJiooRikiIiIpSSJuR0YrIiIjRjApRi1GMyEiIkYwKiZGJ0YwRi1GNUY1 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnZHNvbHZlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiYtSSVtc3ViR0YkNiUtRiw2JVEkT0RFRidGL0YyLUYjNiYtRiw2JVEiUkYnRi9GMi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0ZFRkhGS0ZLRkVGSEZL Ly1JIlJHNiI2I0kickdGJSwmKiZJJF9DMUdGJSIiIilGJywkSSJuR0YlISIiRitGKyomSSRfQzJHRiVGKylGJ0YuRitGKw== b) nLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn= 0: 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 Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JIlJHNiI2I0kickdGK0YtRi0sJComRiciIiJGLSEiIkYx LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnZHNvbHZlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiYtSSVtc3ViR0YkNiUtRiw2JVEmT0RFXzBGJ0YvRjItRiM2Ji1GLDYlUSJSRidGL0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkVGSEZLRktGRUZIRks= Ly1JIlJHNiI2I0kickdGJSwmSSRfQzFHRiUiIiIqJkkkX0MyR0YlRiotSSNsbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUYmRipGKg== So solutions of angular and radial equations will have forms (with changed constants): 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== 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 LCYqJiZJI0IxRzYiNiNJIm5HRiYiIiIpSSJyR0YmRihGKUYpKiYmSSNCMkdGJkYnRikpRissJEYoISIiRilGKQ== 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 LCYmSSNCMUc2IjYjIiIhIiIiKiYmSSNCMkdGJUYmRigtSSNsbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjSSJyR0YlRihGKA== Thus general solution of two-dimensional Laplace's equation in polar coordinates is: 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">2. The first boundary-value problem for Laplace's equation in circle</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.1. The first boundary-value problem statement (inside of circle)</Font></Text-field> Consider the first boundary-value problem for Laplace's equation inside of circle (internal Dirichlet problem for circle). This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary condition on the circle boundary S: u(S) = f, where f is given function and S is circumference of radius R0. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu and boundary conditions are: 1) boundedness of solution at origin of coordinates: u < \342\210\236; 2) value of function u on the circle boundary S is: u(R0,\317\206) = f(\317\206).
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.2. Accounting of boundary conditions (inside of circle)</Font></Text-field> 1) Boundedness of solution at origin of coordinates implies: B20 = 0, B2n = 0, whence it follows (with redefinition of A1n, A2n and B1n): 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 IiIh IiIh IiIi 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== JkkjQjFHNiI2IyIiIQ== KUkickc2IkkibkdGJA== So we have: 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsJiZJI0IxR0YlNiMiIiEiIiItSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JComKUYnSSJuR0YlRi4sJiomJkkjQTFHRiU2I0Y3Ri4tSSRzaW5HRjE2IyomRjdGLkYoRi5GLkYuKiYmSSNBMkdGJUY8Ri4tSSRjb3NHRjFGP0YuRi5GLi9GNztGLkkpaW5maW5pdHlHRjJGLg== 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjJGKC1JJHNpbkdGKzYjKiZGMkYoSSkmdmFycGhpO0dGJUYoRihGKComJkkjQTJHRiVGN0YoLUkkY29zR0YrRjpGKEYoRigvRjI7RihJKWluZmluaXR5R0YsRig= 2) The second boundary condition implies: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjJGKC1JJHNpbkdGKzYjKiZGMkYoSSRwc2lHRiVGKEYoRigqJiZJI0EyR0YlRjdGKC1JJGNvc0dGK0Y6RihGKEYoL0YyO0YoSSlpbmZpbml0eUdGLEYo 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJikmSSJSR0YlRiZJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjNGKC1JJHNpbkdGKzYjKiZGM0YoSSRwc2lHRiVGKEYoRigqJiZJI0EyR0YlRjhGKC1JJGNvc0dGK0Y7RihGKEYoL0YzO0YoSSlpbmZpbml0eUdGLEYo 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 Ly1JImZHNiI2I0kkcHNpR0YlLCYmSSNCMUdGJTYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJikmSSJSR0YlRitJIm5HRiVGLSwmKiYmSSNBMUdGJTYjRjhGLS1JJHNpbkdGMDYjKiZGOEYtRidGLUYtRi0qJiZJI0EyR0YlRj1GLS1JJGNvc0dGMEZARi1GLUYtL0Y4O0YtSSlpbmZpbml0eUdGMUYt Using these relations we will find: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJiZJI0IxR0YoNiNGN0YvLUkkc3VtR0YlNiQqJikmSSJSR0YoRkJJIm5HRihGLywmKiYmSSNBMUdGKDYjRkpGLy1GMTYjKiZGSkYvRi5GL0YvRi8qJiZJI0EyR0YoRk9GLy1JJGNvc0dGJUZRRi9GL0YvL0ZKO0YvSSlpbmZpbml0eUdGJkYvRi9GMEYvRjU= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNjotSShtc3Vic3VwR0YkNictSSNtb0dGJDYtUSYmaW50O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj4tRiM2KC1GVTYkUSIyRidGPi1GOzYtUTEmSW52aXNpYmxlVGltZXM7RidGPkZARkNGRUZHRklGS0ZNRk9GUi1GLDYlUScmIzk2MDtGJy9GMEZCRj4vJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdGQkY+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjJGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUklbXN1YkdGJDYlLUYsNiVRImZGJ0YvRjItRiM2JkYrRl5vRmFvRj5GZm8tSShtZmVuY2VkR0YkNiQtRiM2Ji1GLDYlUSYmcHNpO0YnRl1vRj5GXm9GYW9GPkY+RmduLUYsNiVRJGNvc0YnRl1vRj4tRmJwNiQtRiM2KEYrLUYjNigtRiw2JVEia0YnRi9GMkZnbkZmcEZeb0Zhb0Y+RitGXm9GYW9GPkY+RistSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuM2VtRicvJSZkZXB0aEdGanEvJSpsaW5lYnJlYWtHUSVhdXRvRictRjs2LVEwJkRpZmZlcmVudGlhbEQ7RidGPkZARkNGRUZHRklGS0ZNRk9GUkZmcC1GOzYtUSI9RidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjI3Nzc3NzhlbUYnL0ZTRmpyRjctRmpvNiUtRiw2JVEiVUYnRi9GMkZfcEZmb0ZhcC1GOzYtUSJ+RidGPkZARkNGRUZHRklGS0ZNRk9GUkZpcEZccUYrRmVxRmNyRmZwRl5vRmFvRj5GK0Zeb0Zhb0Y+ Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJiZJI0IxR0YoNiNGN0YvLUkkc3VtR0YlNiQqJikmSSJSR0YoRkJJIm5HRihGLywmKiYmSSNBMUdGKDYjRkpGLy1JJHNpbkdGJTYjKiZGSkYvRi5GL0YvRi8qJiZJI0EyR0YoRk9GLy1GMUZSRi9GL0YvL0ZKO0YvSSlpbmZpbml0eUdGJkYvRi9GMEYvRjU=
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.3. Calculation of coefficients (inside of circle)</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigpJkkiUkdGKDYjIiIhSSJuR0YoIiIiLCYqJiZJI0ExR0YoNiNGMEYxLUkkc2luR0YlNiMqJkYwRjFJJHBzaUdGKEYxRjFGMSomJkkjQTJHRihGNkYxLUkkY29zR0YlRjlGMUYxRjFGN0YxL0Y7O0YvLCQqJiIiI0YxSSNQaUdGJkYxRjEqKEYrRjFGNEYxRkZGMQ== 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigpJkkiUkdGKDYjIiIhSSJuR0YoIiIiLCYqJiZJI0ExR0YoNiNGMEYxLUkkc2luR0YlNiMqJkYwRjFJJHBzaUdGKEYxRjFGMSomJkkjQTJHRihGNkYxLUkkY29zR0YlRjlGMUYxRjFGP0YxL0Y7O0YvLCQqJiIiI0YxSSNQaUdGJkYxRjEqKEYrRjFGPUYxRkZGMQ== 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyooKSZJIlJHRig2I0Y3RjRGLyZJI0ExR0YoNiNGNEYvRjtGLw== Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyooKSZJIlJHRig2I0Y3RjRGLyZJI0EyR0YoNiNGNEYvRjtGLw== Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGKDYjSSRwc2lHRigvRi07IiIhLCQqJiIiIyIiIkkjUGlHRiZGNEY0LCQqKEYzRjQmSSNCMUdGKDYjRjBGNEY1RjRGNA== As a result of calculations we find: 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJQ== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== or 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJQ== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== And solution of the first boundary-value problem for Laplace's equation inside of circle is: 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 LCYqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJS1JJHN1bUdGKTYkKiYpSSJyR0YsSSJuR0YsRiUsJioqLUYoNiQqJkYuRiUtSSRzaW5HRik2IyomRj9GJUYxRiVGJUYyRiUpJkkiUkdGLDYjRjRGP0Y4RjdGOC1GRjYjKiZGP0YlSSkmdmFycGhpO0dGLEYlRiVGJSoqLUYoNiQqJkYuRiUtSSRjb3NHRilGR0YlRjJGJUZJRjhGN0Y4LUZWRk5GJUYlRiUvRj87RiVJKWluZmluaXR5R0YqRiU=
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.4. Poisson integral (inside of circle)</Font></Text-field> This solution can be represented by the Poisson integral. For this purpose we will perform the transformation: 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKiwpSSJyR0YoSSJuR0YoIiIiKSZJIlJHRig2IyIiISwkRjAhIiJGMS1JImZHRig2I0kkcHNpR0YoRjEtSSRjb3NHRiU2IyomRjBGMSwmSSkmdmFycGhpO0dGKEYxRjxGOEYxRjFJI1BpR0YmRjgvRjw7RjYsJComIiIjRjFGQ0YxRjEvRjA7RjFJKWluZmluaXR5R0YmRjEtRis2JCwkKigjRjFGSEYxRkNGOEY5RjFGMUZERjE= and use variables r = \317\201\342\213\205R0, \316\261 = \317\206 - \317\210. and formulas: 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 LyooKUkickc2IkkibkdGJiIiIikmSSJSR0YmNiMiIiEsJEYnISIiRigtSSRjb3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRidGKCwmSSkmdmFycGhpO0dGJkYoSSRwc2lHRiZGL0YoRigqJi1GMTYjKiZGJ0YoSSZhbHBoYUdGJkYoRigpSSRyaG9HRiZGJ0Yo 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 LywmLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJi1JJGNvc0dGJjYjKiZJIm5HRikiIiJJJmFscGhhR0YpRjFGMSlJJHJob0dGKUYwRjEvRjA7RjFJKWluZmluaXR5R0YnRjEjRjEiIiNGMSwkKihGOEYxLCZGMSEiIiokKUY0RjlGMUYxRjEsKCooRjlGMUY0RjEtRi02I0YyRjFGPUYxRjFGPkYxRj1GPQ== After additional transformations we have: 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 LCQqKiMiIiIiIiNGJSwmKiQpJkkiUkc2IjYjIiIhRiZGJSEiIiokKUkickdGLEYmRiVGJUYlLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YsNiQqJi1JImZHRiw2I0kkcHNpR0YsRiUsKCoqRiZGJUYyRiUtSSRjb3NHRjU2IywmSSkmdmFycGhpO0dGLEYlRj1GL0YlRipGJUYvRihGJUYwRiVGLy9GPTtGLiwkKiZGJkYlSSNQaUdGNkYlRiVGJUZJRi9GLw== Using denotation (kernel of Poisson integral): 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 KiYsJiokKSZJIlJHNiI2IyIiISIiIyIiIkYsKiQpSSJyR0YoRitGLCEiIkYsLCgqKkYrRixGL0YsLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiMsJkkpJnZhcnBoaTtHRihGLEkkcHNpR0YoRjBGLEYmRixGMEYkRixGLUYsRjA= we receive integral form of the solution (Poisson integral): 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 LCQqKCMiIiIiIiNGJUkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRihJKF9zeXNsaWJHNiI2JCooLUkiZkdGLjYjSSRwc2lHRi5GJSwmKiQpJkkiUkdGLjYjIiIhRiZGJUYlKiQpSSJyR0YuRiZGJUYpRiUsKCoqRiZGJUY+RiUtSSRjb3NHRiw2IywmSSkmdmFycGhpO0dGLkYlRjRGKUYlRjhGJUYpRjZGJUY8RiVGKS9GNDtGOywkKiZGJkYlRidGJUYlRiVGJQ==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.5. The first boundary-value problem statement (outside of circle)</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYmLUYsNiVRKHJlc3RhcnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRitGPEY/RkJGK0Y8Rj9GQg== Consider the first boundary-value problem for Laplace's equation outside of circle (external Dirichlet problem for circle). This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary condition on the circle boundary S: u(S) = f, where f is given function and S is circumference of radius R0. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu and boundary conditions are: 1) boundedness of solution at infinity: u < \342\210\236; 2) value of function u on the circle boundary S is: u(R0,\317\206) = f(\317\206).
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.6. Accounting of boundary conditions (outside of circle)</Font></Text-field> 1) Boundedness of solution at infinity implies: B10 = 0, B1n = 0, whence it follows (with redefinition of A1n, A2n and B2n): 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 IiIh IiIh IiIi 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== JkkjQjFHNiI2IyIiIQ== KUkickc2IiwkSSJuR0YkISIi So we have: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJKSZ2YXJwaGk7R0YlRihGKEYoKiYmSSNBMkdGJUY5RigtSSRjb3NHRitGPEYoRihGKC9GMztGKEkpaW5maW5pdHlHRixGKA== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTY2O0YnL0YwRkVGQS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZFRkFGQS1GPjYtUSomY29sb25lcTtGJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGYG8tRiM2KS1JJW1zdWJHRiQ2JS1GLDYlUSNCMUYnRi9GMi1GIzYmLUkjbW5HRiQ2JFEiMEYnRkFGZm5GaW5GQS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUY+Ni1RIitGJ0ZBRkNGXm9GSEZKRkxGTkZQL0ZTUSwwLjIyMjIyMjJlbUYnL0ZWRmdwLUYjNistSSttdW5kZXJvdmVyR0YkNictRj42LVEmJlN1bTtGJ0ZBRkNGXm8vRklGMUZKL0ZNRjEvRk9GMUZQRlIvRlZRLDAuMTY2NjY2N2VtRictRiM2KC1GLDYlUSJuRidGL0YyLUY+Ni1RIj1GJ0ZBRkNGXm9GSEZKRkxGTkZQRl9vRmFvLUZdcDYkUSIxRidGQUZmbkZpbkZBLUYsNiVRKCYjODczNDtGJ0YvRjIvJSdhY2NlbnRHRkUvJSxhY2NlbnR1bmRlckdGRS1GLDYlUSFGJ0YvRjItSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJDUuMEYnLyUmZGVwdGhHRmBzLyUqbGluZWJyZWFrR1ElYXV0b0YnRmhyLUYjNigtSSVtc3VwR0YkNiVGOi1GIzYnLUY+Ni1RKiZ1bWludXMwO0YnRkFGQ0Zeb0ZIRkpGTEZORlBGZnBGaHBGaHFGZm5GaW5GQS8lMXN1cGVyc2NyaXB0c2hpZnRHRmJwLUY+Ni1RMSZJbnZpc2libGVUaW1lcztGJ0ZBRkNGXm9GSEZKRkxGTkZQRlIvRlZGVC1GNjYkLUYjNipGaHItRiM2KS1GZW82JS1GLDYlUSNBMUYnRi9GMi1GIzYmRmhxRmZuRmluRkFGYHBGZXQtRiM2KC1GLDYlUSRzaW5GJ0ZlbkZBLUY+Ni1RMCZBcHBseUZ1bmN0aW9uO0YnRkFGQ0Zeb0ZIRkpGTEZORlBGUkZodC1GNjYkLUYjNihGaHItRiM2KEZocUZldEZYRmZuRmluRkFGaHJGZm5GaW5GQUZBRmZuRmluRkFGaHJGZm5GaW5GQUZjcC1GIzYpLUZlbzYlLUYsNiVRI0EyRidGL0YyRmR1RmBwRmV0LUYjNigtRiw2JVEkY29zRidGZW5GQUZbdkZedkZmbkZpbkZBRmhyRmZuRmluRkFGaHJGZm5GaW5GQUZBRmZuRmluRkFGaHJGZm5GaW5GQUZockZmbkZpbkZBRmhyRmZuRmluRkE= LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJKSZ2YXJwaGk7R0YlRihGKEYoKiYmSSNBMkdGJUY5RigtSSRjb3NHRitGPEYoRihGKC9GMztGKEkpaW5maW5pdHlHRixGKA== 2) The second boundary condition implies: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJJHBzaUdGJUYoRihGKComJkkjQTJHRiVGOUYoLUkkY29zR0YrRjxGKEYoRigvRjM7RihJKWluZmluaXR5R0YsRig= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSVtc3ViR0YkNiUtRiw2JVEiVUYnRi9GMi1GIzYmRisvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2Ji1GLDYlUSYmcHNpO0YnL0YwRkRGRUY/RkJGRUZFRj9GQkZFLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGRS8lJmZlbmNlR0ZELyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmFvLUYsNiVRJXN1YnNGJ0YvRjItRks2JC1GIzYrLUYsNiVRInJGJ0YvRjItRlQ2LlEiPUYnRi9GMkZXRllGZW5GZ25GaW5GW29GXW9GX29GYm8tRjg2JS1GLDYlUSJSRidGL0YyLUYjNiYtSSNtbkdGJDYkUSIwRidGRUY/RkJGRUZHLUZUNi1RIixGJ0ZFRlcvRlpGMUZlbkZnbkZpbkZbb0Zdby9GYG9RJjAuMGVtRicvRmNvUSwwLjMzMzMzMzNlbUYnLUYjNictRiw2JVEidUYnRi9GMi1GSzYkLUYjNihGW3BGXHFGT0Y/RkJGRUZFRj9GQkZFRitGP0ZCRkVGRUY/RkJGRQ== LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJikmSSJSR0YlRiYsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGNEYoLUkkc2luR0YrNiMqJkY0RihJJHBzaUdGJUYoRihGKComJkkjQTJHRiVGOkYoLUkkY29zR0YrRj1GKEYoRigvRjQ7RihJKWluZmluaXR5R0YsRig= 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 Ly1JImZHNiI2I0kkcHNpR0YlLCYmSSNCMUdGJTYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJikmSSJSR0YlRissJEkibkdGJSEiIkYtLCYqJiZJI0ExR0YlNiNGOUYtLUkkc2luR0YwNiMqJkY5Ri1GJ0YtRi1GLSomJkkjQTJHRiVGP0YtLUkkY29zR0YwRkJGLUYtRi0vRjk7Ri1JKWluZmluaXR5R0YxRi0= Using these relations we will find: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJiZJI0IxR0YoNiNGN0YvLUkkc3VtR0YlNiQqJikmSSJSR0YoRkIsJEkibkdGKCEiIkYvLCYqJiZJI0ExR0YoNiNGS0YvLUYxNiMqJkZLRi9GLkYvRi9GLyomJkkjQTJHRihGUUYvLUkkY29zR0YlRlNGL0YvRi8vRks7Ri9JKWluZmluaXR5R0YmRi9GL0YwRi9GNQ== 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJiZJI0IxR0YoNiNGN0YvLUkkc3VtR0YlNiQqJikmSSJSR0YoRkIsJEkibkdGKCEiIkYvLCYqJiZJI0ExR0YoNiNGS0YvLUkkc2luR0YlNiMqJkZLRi9GLkYvRi9GLyomJkkjQTJHRihGUUYvLUYxRlRGL0YvRi8vRks7Ri9JKWluZmluaXR5R0YmRi9GL0YwRi9GNQ==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.7. Calculation of coefficients (outside of circle)</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigpJkkiUkdGKDYjIiIhLCRJIm5HRighIiIiIiIsJiomJkkjQTFHRig2I0YxRjMtSSRzaW5HRiU2IyomRjFGM0kkcHNpR0YoRjNGM0YzKiYmSSNBMkdGKEY4RjMtSSRjb3NHRiVGO0YzRjNGM0Y5RjMvRj07Ri8sJComIiIjRjNJI1BpR0YmRjNGMyooRitGM0Y2RjNGSEYz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZALUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2L1EmJmludDtGJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEmaW5lcnRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMEYnRjUtRiM2KC1GUDYkUSIyRidGNS1GLzYtUTEmSW52aXNpYmxlVGltZXM7RidGNUY7Rj5GQEZCRkRGRkZIRkpGTS1JI21pR0YkNiVRJyYjOTYwO0YnLyUnaXRhbGljR0Y9RjUvRjNRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GZm42JVEhRicvRmpuUSV0cnVlRicvRjZRJ2l0YWxpY0YnLUYjNigtRiw2Jy1GZm42JVEiUkYnRmhvRmpvLUYjNiZGT0Zbb0Zdb0Y1LUkobWZlbmNlZEdGJDYkLUYjNictRi82LVEqJnVtaW51czA7RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl5xLUZmbjYlUSJuRidGaG9Gam9GW29GXW9GNUY1L0Zgb0Zkb0Zib0ZYLUZmcDYkLUYjNipGZW8tRiM2KS1JJW1zdWJHRiQ2JS1GZm42JVEjQTFGJ0Zob0Zqby1GIzYmRmBxRltvRl1vRjVGYm9GWC1GIzYoLUZmbjYlUSRzaW5GJ0ZpbkY1LUYvNi1RMCZBcHBseUZ1bmN0aW9uO0YnRjVGO0Y+RkBGQkZERkZGSEZKRk0tRmZwNiQtRiM2KEZlby1GIzYoRmBxRlgtRmZuNiVRJyYjOTY4O0YnRmluRjVGW29GXW9GNUZlb0Zbb0Zdb0Y1RjVGW29GXW9GNUZlb0Zbb0Zdb0Y1LUYvNi1RIitGJ0Y1RjtGPkZARkJGREZGRkhGXXFGX3EtRiM2KS1GW3I2JS1GZm42JVEjQTJGJ0Zob0Zqb0ZgckZib0ZYLUYjNigtRmZuNiVRJGNvc0YnRmluRjVGZ3JGanJGW29GXW9GNUZlb0Zbb0Zdb0Y1RmVvRltvRl1vRjVGNUZbb0Zdb0Y1RlhGX3QtRmZwNiRGXnNGNUZlby1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4zZW1GJy8lJmRlcHRoR0ZpdC8lKmxpbmVicmVha0dRJWF1dG9GJy1GLzYvUTAmRGlmZmVyZW50aWFsRDtGJ0YyRjVGOEY7Rj5GQEZCRkRGRkZIRkpGTUZgcy1GLzYtUSI9RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORml1LUYsNictRi82LVErJkludGVncmFsO0YnRjVGO0Y+L0ZBRmlvRkIvRkVGaW9GRkZIRkpGTUZPRlNGX29GYm9GZW9GXHAtRi82LVEifkYnRjVGO0Y+RkBGQkZERkZGSEZKRk1GX3RGYnRGWC1GLzYtRmR1RjVGO0Y+RkBGQkZERkZGSEZKRk1GYHNGYnYtRi82LVEpYXNzdW1pbmdGJ0Y1RjtGPkZARkJGREZGRkhGSkZNRmJ2RmBxRmJ2LUYvNi1RLSZQcm9wb3J0aW9uO0YnRjVGO0Y+RkBGQkZERkZGSEZodUZqdS1GZm42JVEoaW50ZWdlckYnRmhvRmpvRltvRl1vRjU= Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigpJkkiUkdGKDYjIiIhLCRJIm5HRighIiIiIiIsJiomJkkjQTFHRig2I0YxRjMtSSRzaW5HRiU2IyomRjFGM0kkcHNpR0YoRjNGM0YzKiYmSSNBMkdGKEY4RjMtSSRjb3NHRiVGO0YzRjNGM0ZBRjMvRj07Ri8sJComIiIjRjNJI1BpR0YmRjNGMyooRitGM0Y/RjNGSEYz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY6LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRi1JI21uR0YkNiRRIjBGJ0YyLUYjNigtRko2JFEiMkYnRjItRi82LVExJkludmlzaWJsZVRpbWVzO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGN0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjdGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GVjYlUSJmRicvRlpRJXRydWVGJy9GM1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Ji1GVjYlUSYmcHNpO0YnRllGMkZlbkZobkYyRjJGUi1GVjYlUSRzaW5GJ0ZZRjItRmhvNiQtRiM2KC1GVjYlUSJuRidGY29GZW9GUi1GVjYlUScmIzk2ODtGJ0ZZRjJGZW5GaG5GMkYyLUZWNiVRIUYnRmNvRmVvLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRmRxLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYvNi1RMCZEaWZmZXJlbnRpYWxEO0YnRjJGNUY4RjpGPEY+RkBGQkZERkdGaXAtRi82LVEiPUYnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4yNzc3Nzc4ZW1GJy9GSEZkci1GLDYnLUZWNiVRIlJGJ0Zjb0Zlby1GIzYmRklGZW5GaG5GMi1GaG82JC1GIzYnLUYvNi1RKiZ1bWludXMwO0YnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4yMjIyMjIyZW1GJy9GSEZlc0ZmcEZlbkZobkYyRjIvRltvRl9vRl1vRlItSSVtc3ViR0YkNiUtRlY2JVEjQTFGJ0Zjb0Zlby1GIzYmRmZwRmVuRmhuRjJGXW9GUkZVLUYvNi1RIjtGJ0YyRjUvRjlGZG9GOkY8Rj5GQEZCRkRGZXItRiM2MUYrRlxxLUYjNidGYG9GZ29GZW5GaG5GMkZSLUYjNigtRlY2JVEkY29zRidGWUYyLUYvNi1RMCZBcHBseUZ1bmN0aW9uO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctRmhvNiQtRiM2KEZmcEZSRlxwRmVuRmhuRjJGMkZlbkZobkYyRlxxRl9xRl1yRlxwRmByLUYjNipGZnJGUi1GaXM2JS1GVjYlUSNBMkYnRmNvRmVvRl50Rl1vRlJGVUZlbkZobkYyRlxxRmVuRmhuRjJGYHQtRiM2KEZccS1GIzYyRitGXHFGZnRGXHFGX3FGXXJGXHBGYHJGTy1GLzYtUSJ+RidGMkY1RjhGOkY8Rj5GQEZCRkRGRy1GaXM2JS1GVjYlUSNCMUYnRmNvRmVvRltzRl1vRlJGVUZlbkZobkYyRlxxRmVuRmhuRjJGXHFGZW5GaG5GMg== Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyooKSZJIlJHRig2I0Y3LCRGNCEiIkYvJkkjQTFHRig2I0Y0Ri9GO0Yv Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJmR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyooKSZJIlJHRig2I0Y3LCRGNCEiIkYvJkkjQTJHRig2I0Y0Ri9GO0Yv Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGKDYjSSRwc2lHRigvRi07IiIhLCQqJiIiIyIiIkkjUGlHRiZGNEY0LCQqKEYzRjQmSSNCMUdGKDYjRjBGNEY1RjRGNA== As a result of calculations we find: 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJQ== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0Ri9GOyEiIg== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0Ri9GOyEiIg== or 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJQ== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0Ri9GOyEiIg== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0Ri9GOyEiIg== And solution of the first boundary-value problem for Laplace's equation outside of circle is: 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 LCYqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJS1JJHN1bUdGKTYkKiYpSSJyR0YsLCRJIm5HRixGOEYlLCYqKi1GKDYkKiZGLkYlLUkkc2luR0YpNiMqJkZARiVGMUYlRiVGMkYlKSZJIlJHRiw2I0Y0RkBGJUY3RjgtRkc2IyomRkBGJUkpJnZhcnBoaTtHRixGJUYlRiUqKi1GKDYkKiZGLkYlLUkkY29zR0YpRkhGJUYyRiVGSkYlRjdGOC1GV0ZPRiVGJUYlL0ZAO0YlSSlpbmZpbml0eUdGKkYl
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.8. Poisson integral (outside of circle)</Font></Text-field> This solution can be represented by the Poisson integral. For this purpose we will perform the transformation: 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKiwpSSJyR0YoLCRJIm5HRighIiIiIiIpJkkiUkdGKDYjIiIhRjFGMy1JImZHRig2I0kkcHNpR0YoRjMtSSRjb3NHRiU2IyomRjFGMywmSSkmdmFycGhpO0dGKEYzRjxGMkYzRjNJI1BpR0YmRjIvRjw7RjgsJComIiIjRjNGQ0YzRjMvRjE7RjNJKWluZmluaXR5R0YmRjMtRis2JCwkKigjRjNGSEYzRkNGMkY5RjNGM0ZERjM= and use variables R0 = \317\201\342\213\205r, \316\261 = \317\206 - \317\210. and formulas: 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 LyooKUkickc2IiwkSSJuR0YmISIiIiIiKSZJIlJHRiY2IyIiIUYoRiotSSRjb3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKiwmSSkmdmFycGhpO0dGJkYqSSRwc2lHRiZGKUYqRioqJi1GMTYjKiZGKEYqSSZhbHBoYUdGJkYqRiopSSRyaG9HRiZGKEYq 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 LywmLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJi1JJGNvc0dGJjYjKiZJIm5HRikiIiJJJmFscGhhR0YpRjFGMSlJJHJob0dGKUYwRjEvRjA7RjFJKWluZmluaXR5R0YnRjEjRjEiIiNGMSwkKihGOEYxLCYqJClGNEY5RjFGMUYxISIiRjEsKCooRjlGMUY0RjEtRi02I0YyRjFGP0YxRjFGPUYxRj9GPw== After additional transformations we have: 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 LCQqKiMiIiIiIiNGJSwmKiQpJkkiUkc2IjYjIiIhRiZGJSEiIiokKUkickdGLEYmRiVGJUYlLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YsNiQqJi1JImZHRiw2I0kkcHNpR0YsRiUsKCoqRiZGJUYqRiUtSSRjb3NHRjU2IywmSSkmdmFycGhpO0dGLEYlRj1GL0YlRjJGJUYvRjBGJUYoRiVGLy9GPTtGLiwkKiZGJkYlSSNQaUdGNkYlRiVGJUZJRi9GJQ== Using denotation (kernel of Poisson integral): 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 KiYsJiokKSZJIlJHNiI2IyIiISIiIyIiIiEiIiokKUkickdGKEYrRixGLEYsLCgqKkYrRixGJkYsLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiMsJkkpJnZhcnBoaTtHRihGLEkkcHNpR0YoRi1GLEYwRixGLUYuRixGJEYsRi0= we receive integral form of the solution (Poisson integral): 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigtSSJmR0YsNiNJJHBzaUdGLEYlLCYqJCkmSSJSR0YsNiMiIiFGJkYlISIiKiQpSSJyR0YsRiZGJUYlRiUsKCoqRiZGJUY2RiUtSSRjb3NHRik2IywmSSkmdmFycGhpO0dGLEYlRjJGOkYlRj1GJUY6RjtGJUY0RiVGOi9GMjtGOSwkKiZGJkYlSSNQaUdGKkYlRiVGJUZJRjpGOg==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.9. General representation of the solution in expanded form for circle</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= The solution inside of circle is: 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 Ly0mSSJ1RzYiNiNJJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkSSJyR0YmSSkmdmFycGhpO0dGJiwmJiZJI0IxR0YmRic2IyIiISIiIi1JJHN1bUdGKTYkKiYpRi1JIm5HRiZGNSwmKiYmJkkjQTFHRiZGJzYjRjtGNS1JJHNpbkdGKTYjKiZGO0Y1Ri5GNUY1RjUqJiYmSSNBMkdGJkYnRkFGNS1JJGNvc0dGKUZERjVGNUY1L0Y7O0Y1SSlpbmZpbml0eUdGKkY1 where 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJQ== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== Now we redefine coefficients: 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 LyZJI2EyRzYiNiMiIiEqJi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkLUkiZkdGJTYjSSRwc2lHRiUvRjI7RicsJComIiIjIiIiSSNQaUdGLEY4RjhGOEY5ISIi LyZJI2ExRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZkdGJTYjSSRwc2lHRiUiIiItSSRzaW5HRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== LyZJI2EyRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZkdGJTYjSSRwc2lHRiUiIiItSSRjb3NHRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== and get the formula: 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 LCYqJiMiIiIiIiNGJSZJI2EyRzYiNiMiIiFGJUYlLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YpNiQqJikqJkkickdGKUYlJkkiUkdGKUYqISIiSSJuR0YpRiUsJiomJkkjYTFHRik2I0Y5RiUtSSRzaW5HRi42IyomRjlGJUkpJnZhcnBoaTtHRilGJUYlRiUqJiZGKEY+RiUtSSRjb3NHRi5GQUYlRiVGJS9GOTtGJUkpaW5maW5pdHlHRi9GJQ== The solution outside of circle is: 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 Ly0mSSJ1RzYiNiNJJGV4dEdGJjYkSSJyR0YmSSkmdmFycGhpO0dGJiwmJiZJI0IxR0YmRic2IyIiISIiIi1JJHN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkKiYpRiosJEkibkdGJiEiIkYyLCYqJiYmSSNBMUdGJkYnNiNGPEYyLUkkc2luR0Y1NiMqJkY8RjJGK0YyRjJGMiomJiZJI0EyR0YmRidGQ0YyLUkkY29zR0Y1RkZGMkYyRjIvRjw7RjJJKWluZmluaXR5R0Y2RjI= where 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 LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGLDYjSSRwc2lHRiwvRjE7IiIhLCQqJkYmRiVJI1BpR0YqRiVGJUYlRjchIiJGJQ== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== KigtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZkdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGN0Y0ISIiRjtGQA== Now we redefine coefficients: 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 LyZJI2EyRzYiNiMiIiEqJi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkLUkiZkdGJTYjSSRwc2lHRiUvRjI7RicsJComIiIjIiIiSSNQaUdGLEY4RjhGOEY5ISIi LyZJI2ExRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZkdGJTYjSSRwc2lHRiUiIiItSSRzaW5HRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== LyZJI2EyRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZkdGJTYjSSRwc2lHRiUiIiItSSRjb3NHRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== and get the formula: 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 LCYqJiMiIiIiIiNGJSZJI2EyRzYiNiMiIiFGJUYlLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YpNiQqJikqJiZJIlJHRilGKkYlSSJyR0YpISIiSSJuR0YpRiUsJiomJkkjYTFHRik2I0Y5RiUtSSRzaW5HRi42IyomRjlGJUkpJnZhcnBoaTtHRilGJUYlRiUqJiZGKEY+RiUtSSRjb3NHRi5GQUYlRiVGJS9GOTtGJUkpaW5maW5pdHlHRi9GJQ== Thus we have the solution in expanded form for circle: 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwmKiYjIiIiIiIjRjAmSSNhMkdGKEYrRjBGMC1JJHN1bUc2JEYkSShfc3lzbGliR0YoNiQqJikqJkYnRjBGKSEiIkkibkdGKEYwLCYqJiZJI2ExR0YoNiNGPUYwLUkkc2luR0Y2NiMqJkY9RjBJKSZ2YXJwaGk7R0YoRjBGMEYwKiYmRjNGQkYwLUkkY29zR0Y2RkVGMEYwRjAvRj07RjBJKWluZmluaXR5R0YkRjAyRilGJywmRi5GMC1GNTYkKiYpKiZGKUYwRidGPEY9RjBGPkYwRkxGMA==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">2.10. Poisson integral for circle</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= Poisson integral for circle inside of circle is: 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 KiYsJiokKSZJIlJHNiI2IyIiISIiIyIiIkYsKiQpSSJyR0YoRitGLCEiIkYsLCgqKkYrRixGL0YsLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiMsJkkpJnZhcnBoaTtHRihGMEkkcHNpR0YoRixGLEYmRixGMEYkRixGLUYsRjA= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY3LUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiVRJGludEYnRjJGNS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GNlEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYvNiVRInJGJ0YyRjUtSSNtb0dGJDYtUSIsRidGQy8lJmZlbmNlR0ZCLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYvNiVRJyYjOTY2O0YnL0YzRkJGQ0Y9RkBGQ0ZDLUZRNi1RKiZjb2xvbmVxO0YnRkNGVC9GV0ZCRlhGWkZmbkZobkZqbi9GXW9RLDAuMjc3Nzc3OGVtRicvRmBvRltwLUZRNi1RKiZ1bWludXMwO0YnRkNGVEZpb0ZYRlpGZm5GaG5Gam4vRl1vUSwwLjIyMjIyMjJlbUYnL0Zgb0ZhcC1JJm1mcmFjR0YkNigtSSNtbkdGJDYkUSIxRidGQy1GIzYoLUZncDYkUSIyRidGQy1GUTYtUSJ+RidGQ0ZURmlvRlhGWkZmbkZobkZqbkZcby9GYG9GXm8tRi82JVEnJiM5NjA7RidGZW9GQ0Y9RkBGQy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGW3IvJSliZXZlbGxlZEdGQi1GUTYtUTEmSW52aXNpYmxlVGltZXM7RidGQ0ZURmlvRlhGWkZmbkZobkZqbkZcb0ZicS1JKG1zdWJzdXBHRiQ2Jy1GUTYtUSYmaW50O0YnRkNGVEZpby9GWUY0RlovRmduRjRGaG5Gam5GXG9GYnEtRmdwNiRRIjBGJ0ZDLUYjNihGXHFGYHJGY3FGPUZARkMvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMkYnRkUtRi82JVEiZkYnRjJGNS1GSTYkLUYjNiYtRi82JVEnJiM5Njg7RidGZW9GQ0Y9RkBGQ0ZDRl9xLUYsNiUtRi82JVEnS2VybmVsRidGMkY1RjhGRS1GSTYkLUYjNipGTUZQRmJvRlBGanNGPUZARkNGQy1GLzYlUSFGJ0YyRjUtSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuM2VtRicvJSZkZXB0aEdGXnUvJSpsaW5lYnJlYWtHUSVhdXRvRictRlE2LVEwJkRpZmZlcmVudGlhbEQ7RidGQ0ZURmlvRlhGWkZmbkZobkZqbkZcb0ZicUZqcy1GanQ2JkZcdS9GYHVRJjAuMGVtRidGYnUvRmV1UShuZXdsaW5lRidGZnRGPUZARkM= LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigtSSJmR0YsNiNJJHBzaUdGLEYlLCYqJCkmSSJSR0YsNiMiIiFGJkYlRiUqJClJInJHRixGJkYlISIiRiUsKCoqRiZGJUY8RiUtSSRjb3NHRik2IywmSSkmdmFycGhpO0dGLEY9RjJGJUYlRjZGJUY9RjRGJUY6RiVGPS9GMjtGOSwkKiZGJkYlSSNQaUdGKkYlRiVGJUZJRj1GPQ== Poisson integral for circle outside of circle is: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYlLUYjNiYtRiw2JS1JI21pR0YkNiVRJ0tlcm5lbEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYzNiVRJGV4dEYnRjZGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOlEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0ZBRkRGRy1GIzYmLUYzNiVRIUYnRjZGOUZBRkRGR0ZJLUkobWZlbmNlZEdGJDYkLUYjNiotRjM2JVEickYnRjZGOS1JI21vR0YkNi1RIixGJ0ZHLyUmZmVuY2VHRkYvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGRi8lKGxhcmdlb3BHRkYvJS5tb3ZhYmxlbGltaXRzR0ZGLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjM2JVEnJiM5NjY7RicvRjdGRkZHRlktRjM2JVEnJiM5Njg7RidGXnBGR0ZBRkRGR0ZHLUZaNi1RKiZjb2xvbmVxO0YnRkdGZ24vRmpuRkZGW29GXW9GX29GYW9GY28vRmZvUSwwLjI3Nzc3NzhlbUYnL0Zpb0ZncC1JJm1mcmFjR0YkNigtRiM2KEZOLUYjNipGTi1GIzYmLUklbXN1cEdGJDYlRlYtSSNtbkdGJDYkUSIyRidGRy8lMXN1cGVyc2NyaXB0c2hpZnRHRktGQUZERkctRlo2LVEoJm1pbnVzO0YnRkdGZ25GZXBGW29GXW9GX29GYW9GY28vRmZvUSwwLjIyMjIyMjJlbUYnL0Zpb0Zfci1GIzYmLUkobXN1YnN1cEdGJDYnLUYzNiVRIlJGJ0Y2RjktRiM2Ji1GZnE2JFEiMEYnRkdGQUZERkdGZXFGaXFGSUZBRkRGR0ZORkFGREZHRk5GQUZERkctRiM2KEZOLUYjNiwtRlo2LVEqJnVtaW51czA7RidGR0ZnbkZlcEZbb0Zdb0Zfb0Zhb0Zjb0ZeckZgci1GIzYsRmVxLUZaNi1RMSZJbnZpc2libGVUaW1lcztGJ0ZHRmduRmVwRltvRl1vRl9vRmFvRmNvRmVvL0Zpb0Znb0ZWRmdzLUYjNigtRjM2JVEkY29zRidGXnBGRy1GWjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0ZHRmduRmVwRltvRl1vRl9vRmFvRmNvRmVvRmpzLUZSNiQtRiM2KEZOLUYjNigtRjM2JVEpJnZhcnBoaTtGJ0ZecEZHRltyRl9wRkFGREZHRk5GQUZERkdGR0ZBRkRGR0Zncy1GLDYlRmZyRmlyRklGQUZERkctRlo2LVEiK0YnRkdGZ25GZXBGW29GXW9GX29GYW9GY29GXnJGYHJGYXJGXnVGYHFGTkZBRkRGR0ZORkFGREZHLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZmdS8lKWJldmVsbGVkR0ZGRkFGREZH KiYsJiokKSZJIlJHNiI2IyIiISIiIyIiIiEiIiokKUkickdGKEYrRixGLEYsLCgqKkYrRixGMEYsLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiMsJkkpJnZhcnBoaTtHRihGLUkkcHNpR0YoRixGLEYmRixGLUYkRixGLkYsRi0= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY1LUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiVRJGV4dEYnRjJGNS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GNlEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYvNiVRInJGJ0YyRjUtSSNtb0dGJDYtUSIsRidGQy8lJmZlbmNlR0ZCLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYvNiVRJyYjOTY2O0YnL0YzRkJGQ0Y9RkBGQ0ZDLUZRNi1RKiZjb2xvbmVxO0YnRkNGVC9GV0ZCRlhGWkZmbkZobkZqbi9GXW9RLDAuMjc3Nzc3OGVtRicvRmBvRltwLUZRNi1RKiZ1bWludXMwO0YnRkNGVEZpb0ZYRlpGZm5GaG5Gam4vRl1vUSwwLjIyMjIyMjJlbUYnL0Zgb0ZhcC1JJm1mcmFjR0YkNigtSSNtbkdGJDYkUSIxRidGQy1GIzYoLUZncDYkUSIyRidGQy1GUTYtUSJ+RidGQ0ZURmlvRlhGWkZmbkZobkZqbkZcby9GYG9GXm8tRi82JVElJnBpO0YnRmVvRkNGPUZARkMvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRltyLyUpYmV2ZWxsZWRHRkItRlE2LVExJkludmlzaWJsZVRpbWVzO0YnRkNGVEZpb0ZYRlpGZm5GaG5Gam5GXG9GYnEtSShtc3Vic3VwR0YkNictRlE2LVEmJmludDtGJ0ZDRlRGaW8vRllGNEZaL0ZnbkY0RmhuRmpuRlxvRmJxLUZncDYkUSIwRidGQy1GIzYoRlxxRmByLUYvNiVRJyYjOTYwO0YnRmVvRkNGPUZARkMvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMkYnRkUtRi82JVEiZkYnRjJGNS1GSTYkLUYjNiYtRi82JVEnJiM5Njg7RidGZW9GQ0Y9RkBGQ0ZDRl9xLUYsNiUtRiM2KC1GLzYlUSFGJ0YyRjUtRiM2Ji1GLDYlLUYvNiVRJ0tlcm5lbEYnRjJGNUY4RkVGPUZARkNGZHRGPUZARkMtRiM2JkZkdEY9RkBGQ0ZFLUZJNiQtRiM2KkZNRlBGYm9GUEZddEY9RkBGQ0ZDRmR0LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRml1LyUqbGluZWJyZWFrR1ElYXV0b0YnLUZRNi1RMCZEaWZmZXJlbnRpYWxEO0YnRkNGVEZpb0ZYRlpGZm5GaG5Gam5GXG9GYnFGXXRGPUZARkM= LCQqKCMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigtSSJmR0YsNiNJJHBzaUdGLEYlLCYqJCkmSSJSR0YsNiMiIiFGJkYlISIiKiQpSSJyR0YsRiZGJUYlRiUsKCoqRiZGJUY9RiUtSSRjb3NHRik2IywmSSkmdmFycGhpO0dGLEY6RjJGJUYlRjZGJUY6RjRGJUY7RiVGOi9GMjtGOSwkKiZGJkYlSSNQaUdGKkYlRiVGJUZJRjpGOg== So the Poisson integral for circle is: 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISomLCYqJClGKSIiIyIiIkYyKiQpRidGMUYyISIiRjIsKCoqRjFGMkYnRjItSSRjb3NHNiRGJEkoX3N5c2xpYkdGKDYjLCZJKSZ2YXJwaGk7R0YoRjVJJHBzaUdGKEYyRjJGKUYyRjVGL0YyRjNGMkY1MkYpRicqJiwmRi9GNUYzRjJGMkY2RjU= 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwkKigjIiIiIiIjRjAtSSRpbnRHNiRGJEkoX3N5c2xpYkdGKDYkKigtSSJmR0YoNiNJJHBzaUdGKEYwLCYqJClGKUYxRjBGMCokKUYnRjFGMCEiIkYwLCgqKkYxRjBGJ0YwLUkkY29zR0Y0NiMsJkkpJnZhcnBoaTtHRihGQUY7RjBGMEYpRjBGQUY9RjBGP0YwRkEvRjs7RiwsJComRjFGMEkjUGlHRiRGMEYwRjBGTUZBRkEyRilGJywkKihGL0YwLUYzNiQqKEY4RjAsJkY9RkFGP0YwRjBGQkZBRklGMEZNRkFGQQ==
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">3. The second boundary-value problem for Laplace's equation in circle</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.1. The second boundary-value problem statement (inside of circle)</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= Consider the first boundary-value problem for Laplace's equation inside of circle (internal Neumann problem for circle). This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary condition on the circle boundary S: 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 = g, where g is given function and S is circumference of radius R0. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu and boundary conditions are: 1) boundedness of solution at origin of coordinates: u < \342\210\236; 2) value of derivative of function u on the circle boundary S is: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNidGKy1JJm1mcmFjR0YkNigtRiM2Jy1GODYoLUkjbW9HRiQ2LVErJlBhcnRpYWxEO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGRi8lKXN0cmV0Y2h5R0ZGLyUqc3ltbWV0cmljR0ZGLyUobGFyZ2VvcEdGRi8lLm1vdmFibGVsaW1pdHNHRkYvJSdhY2NlbnRHRkYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZVLUYjNiZGPi1GPzYtUSJ+RidGQi9GRVEmZmFsc2VGJy9GSEZobi9GSkZobi9GTEZobi9GTkZobi9GUEZobi9GUkZobkZTRlYtRiw2JVEibkYnL0YwRmhuRkJGQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaG8vJSliZXZlbGxlZEdGaG5GWi1GLDYlUSJ1RidGYm9GQi1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInJGJ0Zib0ZCLUY/Ni1RIixGJ0ZCRmduL0ZIRjFGam5GW29GXG9GXW9GXm9GUy9GV1EsMC4zMzMzMzMzZW1GJy1GLDYlUScmIzk2NjtGJ0Zib0ZCRkJGQkZCLUkpbXBoYW50b21HRiQ2JC1GIzYmRistRiM2JkYrLUYjNidGKy1GLDYlUSJ4RidGL0YyLUY/Ni1RIj1GJ0ZCRkRGR0ZJRktGTUZPRlEvRlRRLDAuMjc3Nzc3OGVtRicvRldGYXItRiw2JVEiYUYnRi9GMkZCRitGQkYrRkIvJSxjb25zdHJhaW50c0dRLGhlaWdodC1vbmx5RicvRmRvUSIwRidGZm9GaW9GW3AtRj82LVEpJnZlcmJhcjtGJ0ZCRkRGRy9GSkYxRktGTUZPRlEvRlRRLDAuMTExMTExMWVtRicvRldGYHMtRjg2KC1GYnE2JC1GIzYmRistRiM2JUYrLUYsNiVRJWYoeClGJ0YvRjJGQkYrRkJGZnItRiM2J0ZlcC1GPzYtRl9yRkJGZ25GaW5Gam5GW29GXG9GXW9GXm9GYHJGYnItRiw2JVEiUkYnRmJvRkItRiw2JlEiMEYnRmJvLyUqc3Vic2NyaXB0R0YxRkJGQkZpckZmb0Zpb0ZbcEZCRitGQg== = g(\317\206).
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.2. Accounting of boundary conditions (inside of circle)</Font></Text-field> 1) Boundedness of solution at origin of coordinates implies: B20 = 0, B2n = 0, whence it follows (with redefinition of A1n, A2n and B1n): 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 IiIh IiIh IiIi 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== JkkjQjFHNiI2IyIiIQ== KUkickc2IkkibkdGJA== So we have: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjJGKC1JJHNpbkdGKzYjKiZGMkYoSSkmdmFycGhpO0dGJUYoRihGKComJkkjQTJHRiVGN0YoLUkkY29zR0YrRjpGKEYoRigvRjI7RihJKWluZmluaXR5R0YsRig= and 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKClJInJHRicsJkkibkdGJyIiIkYuISIiRi5GLUYuLCYqJiZJI0ExR0YnNiNGLUYuLUkkc2luR0YkNiMqJkYtRi5JKSZ2YXJwaGk7R0YnRi5GLkYuKiYmSSNBMkdGJ0Y0Ri4tSSRjb3NHRiRGN0YuRi5GLi9GLTtGLkkpaW5maW5pdHlHRiU= 2) The second boundary condition implies: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjJGKC1JJHNpbkdGKzYjKiZGMkYoSSRwc2lHRiVGKEYoRigqJiZJI0EyR0YlRjdGKC1JJGNvc0dGK0Y6RihGKEYoL0YyO0YoSSlpbmZpbml0eUdGLEYo 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKClJInJHRicsJkkibkdGJyIiIkYuISIiRi5GLUYuLCYqJiZJI0ExR0YnNiNGLUYuLUkkc2luR0YkNiMqJkYtRi5JJHBzaUdGJ0YuRi5GLiomJkkjQTJHRidGNEYuLUkkY29zR0YkRjdGLkYuRi4vRi07Ri5JKWluZmluaXR5R0Yl 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKCkmSSJSR0YnNiMiIiEsJkkibkdGJyIiIkYxISIiRjFGMEYxLCYqJiZJI0ExR0YnNiNGMEYxLUkkc2luR0YkNiMqJkYwRjFJJHBzaUdGJ0YxRjFGMSomJkkjQTJHRidGN0YxLUkkY29zR0YkRjpGMUYxRjEvRjA7RjFJKWluZmluaXR5R0Yl 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 Ly1JImdHNiI2I0kkcHNpR0YlLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqKCkmSSJSR0YlNiMiIiEsJkkibkdGJSIiIkY2ISIiRjZGNUY2LCYqJiZJI0ExR0YlNiNGNUY2LUkkc2luR0YqNiMqJkY1RjZGJ0Y2RjZGNiomJkkjQTJHRiVGPEY2LUkkY29zR0YqRj9GNkY2RjYvRjU7RjZJKWluZmluaXR5R0Yr Using these relations we will find: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY6LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRi1JI21uR0YkNiRRIjBGJ0YyLUYjNigtRko2JFEiMkYnRjItRi82LVExJkludmlzaWJsZVRpbWVzO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGN0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjdGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GVjYlUSJnRicvRlpRJXRydWVGJy9GM1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Ji1GVjYlUSYmcHNpO0YnRllGMkZlbkZobkYyRjJGUi1GVjYlUSRzaW5GJ0ZZRjItRmhvNiQtRiM2KC1GVjYlUSFGJ0Zjb0Zlby1GIzYoLUZWNiVRImtGJ0Zjb0Zlb0ZSRlxwRmVuRmhuRjJGZnBGZW5GaG5GMkYyRmZwLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRmNxLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYvNi1RMCZEaWZmZXJlbnRpYWxEO0YnRjJGNUY4RjpGPEY+RkBGQkZERkdGXHAtRi82LVEiPUYnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4yNzc3Nzc4ZW1GJy9GSEZjckYrLUklbXN1YkdGJDYlLUZWNiVRIlVGJ0Zjb0Zlby1GIzYmLUZWNiVRInJGJ0Zjb0Zlb0ZlbkZobkYyRl1vRmdvLUYvNi1RIn5GJ0YyRjVGOEY6RjxGPkZARkJGREZHRl9wRmJwRmZwRl5xRlxyRlxwRmVuRmhuRjI= Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYtSSRzdW1HRiU2JCooKSZJIlJHRig2I0Y3LCZJIm5HRihGL0YvISIiRi9GSEYvLCYqJiZJI0ExR0YoNiNGSEYvLUYxNiMqJkZIRi9GLkYvRi9GLyomJkkjQTJHRihGTkYvLUkkY29zR0YlRlBGL0YvRi8vRkg7Ri9JKWluZmluaXR5R0YmRi9GMEYvRjU= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY6LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRi1JI21uR0YkNiRRIjBGJ0YyLUYjNigtRko2JFEiMkYnRjItRi82LVExJkludmlzaWJsZVRpbWVzO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGN0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjdGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GVjYlUSJnRicvRlpRJXRydWVGJy9GM1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Ji1GVjYlUSYmcHNpO0YnRllGMkZlbkZobkYyRjJGUi1GVjYlUSRjb3NGJ0ZZRjItRmhvNiQtRiM2KC1GVjYlUSFGJ0Zjb0Zlby1GIzYoLUZWNiVRImtGJ0Zjb0Zlb0ZSRlxwRmVuRmhuRjJGZnBGZW5GaG5GMkYyRmZwLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRmNxLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYvNi1RMCZEaWZmZXJlbnRpYWxEO0YnRjJGNUY4RjpGPEY+RkBGQkZERkdGXHAtRi82LVEiPUYnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4yNzc3Nzc4ZW1GJy9GSEZjckYrLUklbXN1YkdGJDYlLUZWNiVRIlVGJ0Zjb0Zlby1GIzYmLUZWNiVRInJGJ0Zjb0Zlb0ZlbkZobkYyRl1vRmdvLUYvNi1RIn5GJ0YyRjVGOEY6RjxGPkZARkJGREZHRl9wRmJwRmZwRl5xRlxyRlxwRmVuRmhuRjI= Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYtSSRzdW1HRiU2JCooKSZJIlJHRig2I0Y3LCZJIm5HRihGL0YvISIiRi9GSEYvLCYqJiZJI0ExR0YoNiNGSEYvLUkkc2luR0YlNiMqJkZIRi9GLkYvRi9GLyomJkkjQTJHRihGTkYvLUYxRlFGL0YvRi8vRkg7Ri9JKWluZmluaXR5R0YmRi9GMEYvRjU=
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.3. Calculation of coefficients (inside of circle)</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZALUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2L1EmJmludDtGJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEmaW5lcnRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMEYnRjUtRiM2KC1GUDYkUSIyRidGNS1GLzYtUTEmSW52aXNpYmxlVGltZXM7RidGNUY7Rj5GQEZCRkRGRkZIRkpGTS1JI21pR0YkNiVRJyYjOTYwO0YnLyUnaXRhbGljR0Y9RjUvRjNRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GZm42JVEhRicvRmpuUSV0cnVlRicvRjZRJ2l0YWxpY0YnLUYjNiotRiw2Jy1GZm42JVEiUkYnRmhvRmpvLUYjNiZGT0Zbb0Zdb0Y1LUkobWZlbmNlZEdGJDYkLUYjNigtRmZuNiVRIm5GJ0Zob0Zqby1GLzYtUSgmbWludXM7RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORmFxLUZQNiRRIjFGJ0Y1RltvRl1vRjVGNS9GYG9GZG9GYm9GWEZqcEZYLUZmcDYkLUYjNipGZW8tRiM2KS1JJW1zdWJHRiQ2JS1GZm42JVEjQTFGJ0Zob0Zqby1GIzYmRmpwRltvRl1vRjVGYm9GWC1GIzYoLUZmbjYlUSRzaW5GJ0ZpbkY1LUYvNi1RMCZBcHBseUZ1bmN0aW9uO0YnRjVGO0Y+RkBGQkZERkZGSEZKRk0tRmZwNiQtRiM2KEZlby1GIzYoRmpwRlgtRmZuNiVRJyYjOTY4O0YnRmluRjVGW29GXW9GNUZlb0Zbb0Zdb0Y1RjVGW29GXW9GNUZlb0Zbb0Zdb0Y1LUYvNi1RIitGJ0Y1RjtGPkZARkJGREZGRkhGYHFGYnEtRiM2KS1GXnI2JS1GZm42JVEjQTJGJ0Zob0Zqb0ZjckZib0ZYLUYjNigtRmZuNiVRJGNvc0YnRmluRjVGanJGXXNGW29GXW9GNUZlb0Zbb0Zdb0Y1RmVvRltvRl1vRjVGNUZbb0Zdb0Y1RlhGZ3ItRmZwNiRGYXNGNUZlby1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4zZW1GJy8lJmRlcHRoR0ZcdS8lKmxpbmVicmVha0dRJWF1dG9GJy1GLzYvUTAmRGlmZmVyZW50aWFsRDtGJ0YyRjVGOEY7Rj5GQEZCRkRGRkZIRkpGTUZjcy1GLzYtUSI9RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlx2LUYsNictRi82LVErJkludGVncmFsO0YnRjVGO0Y+L0ZBRmlvRkIvRkVGaW9GRkZIRkpGTUZPRlNGX29GYm9GZW9GXHAtRi82LVEifkYnRjVGO0Y+RkBGQkZERkZGSEZKRk1GZ3JGZXRGWC1GLzYtRmd1RjVGO0Y+RkBGQkZERkZGSEZKRk0tRmZuNiVRJiZwc2k7RidGaW5GNUZldi1GLzYtUSlhc3N1bWluZ0YnRjVGO0Y+RkBGQkZERkZGSEZKRk1GZXZGanBGZXYtRi82LVEtJlByb3BvcnRpb247RidGNUY7Rj5GQEZCRkRGRkZIRlt2Rl12LUZmbjYlUShpbnRlZ2VyRidGaG9Gam9GW29GXW9GNQ== Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiopJkkiUkdGKDYjIiIhLCZJIm5HRigiIiJGMiEiIkYyRjFGMiwmKiYmSSNBMUdGKDYjRjFGMi1JJHNpbkdGJTYjKiZGMUYySSRwc2lHRihGMkYyRjIqJiZJI0EyR0YoRjhGMi1JJGNvc0dGJUY7RjJGMkYyRjlGMi9GPTtGLywkKiYiIiNGMkkjUGlHRiZGMkYyKipGK0YyRjZGMkYxRjJGSEYy LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZALUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2L1EmJmludDtGJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEmaW5lcnRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMEYnRjUtRiM2KC1GUDYkUSIyRidGNS1GLzYtUTEmSW52aXNpYmxlVGltZXM7RidGNUY7Rj5GQEZCRkRGRkZIRkpGTS1JI21pR0YkNiVRJyYjOTYwO0YnLyUnaXRhbGljR0Y9RjUvRjNRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GZm42JVEhRicvRmpuUSV0cnVlRicvRjZRJ2l0YWxpY0YnLUYjNiotRiw2Jy1GZm42JVEiUkYnRmhvRmpvLUYjNiZGT0Zbb0Zdb0Y1LUkobWZlbmNlZEdGJDYkLUYjNigtRmZuNiVRIm5GJ0Zob0Zqby1GLzYtUSgmbWludXM7RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORmFxLUZQNiRRIjFGJ0Y1RltvRl1vRjVGNS9GYG9GZG9GYm9GWEZqcEZYLUZmcDYkLUYjNipGZW8tRiM2KS1JJW1zdWJHRiQ2JS1GZm42JVEjQTFGJ0Zob0Zqby1GIzYmRmpwRltvRl1vRjVGYm9GWC1GIzYoLUZmbjYlUSRzaW5GJ0ZpbkY1LUYvNi1RMCZBcHBseUZ1bmN0aW9uO0YnRjVGO0Y+RkBGQkZERkZGSEZKRk0tRmZwNiQtRiM2KEZlby1GIzYoRmpwRlgtRmZuNiVRJyYjOTY4O0YnRmluRjVGW29GXW9GNUZlb0Zbb0Zdb0Y1RjVGW29GXW9GNUZlb0Zbb0Zdb0Y1LUYvNi1RIitGJ0Y1RjtGPkZARkJGREZGRkhGYHFGYnEtRiM2KS1GXnI2JS1GZm42JVEjQTJGJ0Zob0Zqb0ZjckZib0ZYLUYjNigtRmZuNiVRJGNvc0YnRmluRjVGanJGXXNGW29GXW9GNUZlb0Zbb0Zdb0Y1RmVvRltvRl1vRjVGNUZbb0Zdb0Y1RlhGYnQtRmZwNiRGYXNGNUZlby1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4zZW1GJy8lJmRlcHRoR0ZcdS8lKmxpbmVicmVha0dRJWF1dG9GJy1GLzYvUTAmRGlmZmVyZW50aWFsRDtGJ0YyRjVGOEY7Rj5GQEZCRkRGRkZIRkpGTUZjcy1GLzYtUSI9RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlx2LUYsNictRi82LVErJkludGVncmFsO0YnRjVGO0Y+L0ZBRmlvRkIvRkVGaW9GRkZIRkpGTUZPRlNGX29GYm9GZW9GXHAtRi82LVEifkYnRjVGO0Y+RkBGQkZERkZGSEZKRk1GYnRGZXRGWC1GLzYtRmd1RjVGO0Y+RkBGQkZERkZGSEZKRk1GY3NGZXYtRi82LVEpYXNzdW1pbmdGJ0Y1RjtGPkZARkJGREZGRkhGSkZNRmV2RmpwRmV2LUYvNi1RLSZQcm9wb3J0aW9uO0YnRjVGO0Y+RkBGQkZERkZGSEZbdkZddi1GZm42JVEoaW50ZWdlckYnRmhvRmpvRltvRl1vRjU= Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiopJkkiUkdGKDYjIiIhLCZJIm5HRigiIiJGMiEiIkYyRjFGMiwmKiYmSSNBMUdGKDYjRjFGMi1JJHNpbkdGJTYjKiZGMUYySSRwc2lHRihGMkYyRjIqJiZJI0EyR0YoRjhGMi1JJGNvc0dGJUY7RjJGMkYyRkFGMi9GPTtGLywkKiYiIiNGMkkjUGlHRiZGMkYyKipGK0YyRj9GMkYxRjJGSEYy LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY6LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRi1JI21uR0YkNiRRIjBGJ0YyLUYjNigtRko2JFEiMkYnRjItRi82LVExJkludmlzaWJsZVRpbWVzO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGN0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjdGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GVjYlUSJnRicvRlpRJXRydWVGJy9GM1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Ji1GVjYlUSYmcHNpO0YnRllGMkZlbkZobkYyRjJGUi1GVjYlUSRzaW5GJ0ZZRjItRmhvNiQtRiM2KC1GVjYlUSJuRidGY29GZW9GUi1GVjYlUScmIzk2ODtGJ0ZZRjJGZW5GaG5GMkYyLUZWNiVRIUYnRmNvRmVvLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRmRxLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYvNi1RMCZEaWZmZXJlbnRpYWxEO0YnRjJGNUY4RjpGPEY+RkBGQkZERkdGaXAtRi82LVEiPUYnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4yNzc3Nzc4ZW1GJy9GSEZkci1GLDYnLUZWNiVRIlJGJ0Zjb0Zlby1GIzYmRklGZW5GaG5GMi1GaG82JC1GIzYoRmZwLUYvNi1RKCZtaW51cztGJ0YyRjVGOEY6RjxGPkZARkIvRkVRLDAuMjIyMjIyMmVtRicvRkhGZXMtRko2JFEiMUYnRjJGZW5GaG5GMkYyL0Zbb0Zfb0Zdb0ZSLUklbXN1YkdGJDYlLUZWNiVRI0ExRidGY29GZW8tRiM2JkZmcEZlbkZobkYyRl1vRlJGZnBGUkZVLUYvNi1RIjtGJ0YyRjUvRjlGZG9GOkY8Rj5GQEZCRkRGZXItRiM2KEZccS1GIzY3RitGYG9GZ29GUi1GVjYlUSRjb3NGJ0ZZRjItRmhvNiQtRiM2KEZmcEZSRlxwRmVuRmhuRjJGMkZccUZfcUZdckZccEZgckZmckZSLUZcdDYlLUZWNiVRI0EyRidGY29GZW9GYXRGXW9GUkZmcEZSRlVGZW5GaG5GMkZccUZlbkZobkYyRlxxRmVuRmhuRjI= Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyoqKSZJIlJHRig2I0Y3LCZGNEYvRi8hIiJGLyZJI0ExR0YoNiNGNEYvRjRGL0Y7Ri8= Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyoqKSZJIlJHRig2I0Y3LCZGNEYvRi8hIiJGLyZJI0EyR0YoNiNGNEYvRjRGL0Y7Ri8= As a result of calculations we find: 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 KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZ0dGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGNEZBRjtGQQ== KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZ0dGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGNEZBRjtGQQ== or 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 KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZ0dGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGNEZBRjtGQQ== KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZ0dGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGNEZBRjtGQQ== And solution of the second boundary-value problem for Laplace's equation inside of circle is: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiwtSSRpbnRHRis2JComLUkiZ0dGJTYjSSRwc2lHRiVGKC1JJHNpbkdGKzYjKiZGMkYoRjxGKEYoL0Y8O0YnLCQqJiIiI0YoSSNQaUdGLEYoRihGKCkmSSJSR0YlRiYsJkYyRihGKCEiIkZLRjJGS0ZGRkstRj42IyomRjJGKEkpJnZhcnBoaTtHRiVGKEYoRigqLC1GNjYkKiZGOUYoLUkkY29zR0YrRj9GKEZBRihGR0ZLRjJGS0ZGRkstRlVGTUYoRihGKC9GMjtGKEkpaW5maW5pdHlHRixGKA==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.4. Poisson integral (inside of circle)</Font></Text-field> This solution can be represented by the Poisson integral. For this purpose we will perform the transformation: 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKi4pSSJyR0YoSSJuR0YoIiIiKSZJIlJHRig2IyIiISwmRjAhIiJGMUYxRjEtSSJnR0YoNiNJJHBzaUdGKEYxLUkkY29zR0YlNiMqJkYwRjEsJkkpJnZhcnBoaTtHRihGMUY8RjhGMUYxRjBGOEkjUGlHRiZGOC9GPDtGNiwkKiYiIiNGMUZDRjFGMS9GMDtGMUkpaW5maW5pdHlHRiZGMSZJI0IxR0YoRjVGMQ== and use variables r = \317\201\342\213\205R0, \316\261 = \317\206 - \317\210. and formulas: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY0LUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYlUSJuRidGMkY1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkYvJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGRi8lKGxhcmdlb3BHRkYvJS5tb3ZhYmxlbGltaXRzR0ZGLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGVS1JKG1zdWJzdXBHRiQ2Jy1GLzYlUSJSRidGMkY1LUYjNiYtSSNtbkdGJDYkUSIwRidGQi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZGRkItSShtZmVuY2VkR0YkNiQtRiM2KS1GPzYtUSomdW1pbnVzMDtGJ0ZCRkRGR0ZJRktGTUZPRlEvRlRRLDAuMjIyMjIyMmVtRicvRldGXHBGOC1GPzYtUSIrRidGQkZERkdGSUZLRk1GT0ZRRltwRl1wLUZbbzYkUSIxRidGQkZeb0Zhb0ZCRkJGOy8lL3N1YnNjcmlwdHNoaWZ0R0Y9Rj4tRi82JVEkY29zRicvRjNGRkZCLUZkbzYkLUYjNigtRi82JVEhRidGMkY1LUYjNihGOEY+LUZkbzYkLUYjNigtRi82JVEnJiM5NjY7RidGaXBGQi1GPzYtUSgmbWludXM7RidGQkZERkdGSUZLRk1GT0ZRRltwRl1wLUYvNiVRJyYjOTY4O0YnRmlwRkJGXm9GYW9GQkZCRl5vRmFvRkJGXnFGXm9GYW9GQkZCLUY/Ni1RIj1GJ0ZCRkRGR0ZJRktGTUZPRlEvRlRRLDAuMjc3Nzc3OGVtRicvRldGZHItRi82JVEpc2ltcGxpZnlGJ0YyRjUtRmRvNiQtRiM2Jy1GLzYlUSVzdWJzRidGMkY1LUZkbzYkLUYjNi0tRmRvNiYtRiM2MEYuRmByLUYvNiVRJyYjOTYxO0YnRmlwRkItRj82LVEnJnNkb3Q7RidGQkZERkdGSUZLRk1GT0ZRRlNGVi1GWTYnRmVuRmhuLUYjNiZGXnFGXm9GYW9GQkY7RmRwLUY/Ni1RIixGJ0ZCRkQvRkhGNEZJRktGTUZPRlFGUy9GV1EsMC4zMzMzMzMzZW1GJy1GLzYlUSkmdmFycGhpO0YnRmlwRkJGYHItRi82JVEoJmFscGhhO0YnRmlwRkJGXnAtRi82JVEmJnBzaTtGJ0ZpcEZCRl5vRmFvRkJGQi8lJW9wZW5HUSJ8ZnJGJy8lJmNsb3NlR1EifGhyRidGYnRGKy1GPzYuRl10RjJGNUZERkdGSUZLRk1GT0ZRRlNGVkZYRmd1LUYjNihGZnAtRj82LVEwJkFwcGx5RnVuY3Rpb247RidGQkZERkdGSUZLRk1GT0ZRRlNGVi1GZG82JC1GIzYoRl5xLUYjNihGOEY+LUZkbzYkLUYjNihGaHRGanFGXXJGXm9GYW9GQkZCRl5vRmFvRkJGXnFGXm9GYW9GQkZCRl5vRmFvRkJGXnFGXm9GYW9GQkZCRl5vRmFvRkJGQi1GPzYtUSJ+RidGQkZERkdGSUZLRk1GT0ZRRlNGVi1GPzYtUSlhc3N1bWluZ0YnRkJGREZHRklGS0ZNRk9GUUZTRlZGaHZGOC1GPzYtUS0mUHJvcG9ydGlvbjtGJ0ZCRkRGR0ZJRktGTUZPRlFGY3JGZXItRi82JVEoaW50ZWdlckYnRjJGNUZeb0Zhb0ZC LyooKUkickc2IkkibkdGJiIiIikmSSJSR0YmNiMiIiEsJkYnISIiRihGKEYoLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMqJkYnRigsJkkpJnZhcnBoaTtHRiZGKEkkcHNpR0YmRi9GKEYoKihGKkYoLUYxNiMqJkYnRihJJmFscGhhR0YmRihGKClJJHJob0dGJkYnRig= Now we have 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 LCYmSSNCMUc2IjYjIiIhIiIiKigmSSJSR0YlRiZGKEkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkc3VtRzYkRi1JKF9zeXNsaWJHRiU2JC1JJGludEdGMTYkKiopSSRyaG9HRiVJIm5HRiVGKC1JImdHRiU2I0kkcHNpR0YlRigtSSRjb3NHRjE2IyomRjpGKEkmYWxwaGFHRiVGKEYoRjpGLi9GPjtGJywkKiYiIiNGKEYsRihGKC9GOjtGKEkpaW5maW5pdHlHRi1GKEYo Consider kernel of Poisson integral: 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKClJJHJob0dGJ0kibkdGJyIiIi1JJGNvc0dGJDYjKiZGLEYtSSZhbHBoYUdGJ0YtRi1GLCEiIi9GLDtGLUkpaW5maW5pdHlHRiU= and relation: 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 Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJHN1bUdGJTYkKigpSSRyaG9HRihJIm5HRigiIiItSSRjb3NHRiU2IyomRjBGMUkmYWxwaGFHRihGMUYxRjAhIiIvRjA7RjFJKWluZmluaXR5R0YmRi8sJComLCYtRjM2I0Y2RjFGL0Y3RjEsKCooIiIjRjFGL0YxRj5GMUYxRjFGNyokKUYvRkJGMUY3RjdGNw== Integration gives: 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 LCQqJiMiIiIiIiNGJS1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsKCooRiZGJUkkcmhvR0YsRiUtSSRjb3NHRik2I0kmYWxwaGFHRixGJSEiIkYlRiUqJClGMEYmRiVGJUYlRjU= and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY1LUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTY2O0YnL0YwRkVGQS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZFRkFGQS1GPjYtUSomY29sb25lcTtGJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGYG8tSSVtc3ViR0YkNiUtRiw2JVEjQjFGJ0YvRjItRiM2Ji1JI21uR0YkNiRRIjBGJ0ZBRmZuRmluRkEvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GPjYtUSIrRidGQUZDRl5vRkhGSkZMRk5GUC9GU1EsMC4yMjIyMjIyZW1GJy9GVkZlcC1JJm1mcmFjR0YkNigtRiM2Jy1GY282JS1GLDYlUSJSRidGL0YyRmhvRl5wLUY+Ni1RMSZJbnZpc2libGVUaW1lcztGJ0ZBRkNGXm9GSEZKRkxGTkZQRlIvRlZGVEZmbkZpbkZBLUYjNiYtRiw2JVElJnBpO0YnRmVuRkFGZm5GaW5GQS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGX3IvJSliZXZlbGxlZEdGRS1JKG1zdWJzdXBHRiQ2Jy1GPjYtUSYmaW50O0YnRkFGQ0Zeb0ZIRkpGTEZORlBGUkZkcUZqby1GIzYoLUZbcDYkUSIyRidGQUZhcS1GLDYlUScmIzk2MDtGJ0ZlbkZBRmZuRmluRkEvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMkYnRl5wRmFxLUYsNiVRImdGJ0YvRjItRjY2JC1GIzYmLUYsNiVRJyYjOTY4O0YnRmVuRkFGZm5GaW5GQUZBRmFxLUYjNigtRiw2JVEhRidGL0YyLUYjNictRmNvNiUtRiw2JVEnS2VybmVsRidGL0YyLUYjNiZGYXRGZm5GaW5GQUZecC1GNjYkLUYjNipGOkY9RlhGPUZcdEZmbkZpbkZBRkFGZm5GaW5GQUZhdEZmbkZpbkZBRmF0LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRmZ1LyUqbGluZWJyZWFrR1ElYXV0b0YnLUY+Ni1RMCZEaWZmZXJlbnRpYWxEO0YnRkFGQ0Zeb0ZIRkpGTEZORlBGUkZkcS1GLDYlUSYmcHNpO0YnRmVuRkFGZm5GaW5GQQ== LCYmSSNCMUc2IjYjIiIhIiIiKigmSSJSR0YlRiZGKEkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRi1JKF9zeXNsaWJHRiU2JCwkKigjRigiIiNGKC1JImdHRiU2I0kkcHNpR0YlRigtSSNsbkdGMTYjLCgqKEY3RihJJHJob0dGJUYoLUkkY29zR0YxNiNJJmFscGhhR0YlRihGLkYoRigqJClGQUY3RihGKEYoRi4vRjs7RicsJComRjdGKEYsRihGKEYoRig= So we receive integral form of the solution (Poisson integral): 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 LCQqJiMiIiIiIiNGJS1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsKCoqRiZGJUkickdGLEYlJkkiUkdGLDYjIiIhISIiLUkkY29zR0YpNiMsJkkpJnZhcnBoaTtHRixGJUkkcHNpR0YsRjVGJUY1RiVGJSomKUYwRiZGJSlGMUYmRjVGJUYlRjU= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInJGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRJyYjOTY2O0YnL0YwRkVGQS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZFRkFGQS1GPjYtUSomY29sb25lcTtGJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGYG8tRiw2JVElc3Vic0YnRi9GMi1GNjYkLUYjNiktRjY2Ji1GIzYuLUYsNiVRJiZyaG87RidGZW5GQS1GPjYtUSI9RidGQUZDRl5vRkhGSkZMRk5GUEZfb0Zhby1JJm1mcmFjR0YkNihGOi1GIzYnLUYsNiVRIUYnRi9GMi1JKG1zdWJzdXBHRiQ2Jy1GLDYlUSJSRidGL0YyLUYjNiYtSSNtbkdGJDYkUSIwRidGQUZmbkZpbkZBLUYjNiZGaHBGZm5GaW5GQS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGW3JGZm5GaW5GQS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGY3IvJSliZXZlbGxlZEdGRUY9LUYsNiVRJyYjOTQ1O0YnRmVuRkFGYHBGWC1GPjYtUSomdW1pbnVzMDtGJ0ZBRkNGXm9GSEZKRkxGTkZQL0ZTUSwwLjIyMjIyMjJlbUYnL0ZWRl9zLUYsNiVRJyYjOTY4O0YnRmVuRkFGZm5GaW5GQUZBLyUlb3BlbkdRInxmckYnLyUmY2xvc2VHUSJ8aHJGJ0Y9LUYjNihGKy1GPjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0ZBRkNGXm9GSEZKRkxGTkZQRlIvRlZGVEY1RmZuRmluRkFGaHBGZm5GaW5GQUZBRmZuRmluRkE= LCYmSSNCMUc2IjYjIiIhIiIiKigmSSJSR0YlRiZGKEkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRi1JKF9zeXNsaWJHRiU2JCwkKigjRigiIiNGKC1JImdHRiU2I0kkcHNpR0YlRigtSSNsbkdGMTYjLCgqKkY3RihJInJHRiVGKEYqRi4tSSRjb3NHRjE2IywmSSkmdmFycGhpO0dGJUYoRjtGLkYoRi5GKEYoKiYpRkFGN0YoKUYqRjdGLkYoRihGLi9GOztGJywkKiZGN0YoRixGKEYoRihGKA==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.5. The second boundary-value problem statement (outside of circle)</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYmLUYsNiVRKHJlc3RhcnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRitGPEY/RkJGK0Y8Rj9GQg== Consider the second boundary-value problem for Laplace's equation inside of circle (external Neumann problem for circle). This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary condition on the circle boundary S: 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 = g, where g is given function and S is circumference of radius R0. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu and boundary conditions are: 1) boundedness of solution at infinity: u < \342\210\236; 2) value of derivative of function u on the circle boundary S is: 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 = g(\317\206).
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.6. Accounting of boundary conditions (inside of circle)</Font></Text-field> 1) Boundedness of solution at origin of coordinates implies:: B20 = 0, B1n = 0, whence it follows (with redefinition of A1n, A2n and B1n): 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 IiIh IiIh IiIi 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== JkkjQjFHNiI2IyIiIQ== KUkickc2IiwkSSJuR0YkISIi So we have: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJKSZ2YXJwaGk7R0YlRihGKEYoKiYmSSNBMkdGJUY5RigtSSRjb3NHRitGPEYoRihGKC9GMztGKEkpaW5maW5pdHlHRixGKA== and 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooKUkickdGJywmSSJuR0YnISIiIiIiRi9GMEYuRjAsJiomJkkjQTFHRic2I0YuRjAtSSRzaW5HRiQ2IyomRi5GMEkpJnZhcnBoaTtHRidGMEYwRjAqJiZJI0EyR0YnRjVGMC1JJGNvc0dGJEY4RjBGMEYwRi8vRi47RjBJKWluZmluaXR5R0Yl 2) The second boundary condition implies: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJJHBzaUdGJUYoRihGKComJkkjQTJHRiVGOUYoLUkkY29zR0YrRjxGKEYoRigvRjM7RihJKWluZmluaXR5R0YsRig= 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooKUkickdGJywmSSJuR0YnISIiIiIiRi9GMEYuRjAsJiomJkkjQTFHRic2I0YuRjAtSSRzaW5HRiQ2IyomRi5GMEkkcHNpR0YnRjBGMEYwKiYmSSNBMkdGJ0Y1RjAtSSRjb3NHRiRGOEYwRjBGMEYvL0YuO0YwSSlpbmZpbml0eUdGJQ== 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooKSZJIlJHRic2IyIiISwmSSJuR0YnISIiIiIiRjJGM0YxRjMsJiomJkkjQTFHRic2I0YxRjMtSSRzaW5HRiQ2IyomRjFGM0kkcHNpR0YnRjNGM0YzKiYmSSNBMkdGJ0Y4RjMtSSRjb3NHRiRGO0YzRjNGM0YyL0YxO0YzSSlpbmZpbml0eUdGJQ== 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 Ly1JImdHNiI2I0kkcHNpR0YlLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQsJCooKSZJIlJHRiU2IyIiISwmSSJuR0YlISIiIiIiRjdGOEY2RjgsJiomJkkjQTFHRiU2I0Y2RjgtSSRzaW5HRio2IyomRjZGOEYnRjhGOEY4KiYmSSNBMkdGJUY9RjgtSSRjb3NHRipGQEY4RjhGOEY3L0Y2O0Y4SSlpbmZpbml0eUdGKw== Using these relations we will find: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYtSSRzdW1HRiU2JCwkKigpJkkiUkdGKDYjRjcsJkkibkdGKCEiIkYvRkpGL0ZJRi8sJiomJkkjQTFHRig2I0ZJRi8tRjE2IyomRklGL0YuRi9GL0YvKiYmSSNBMkdGKEZPRi8tSSRjb3NHRiVGUUYvRi9GL0ZKL0ZJO0YvSSlpbmZpbml0eUdGJkYvRjBGL0Y1 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYtSSRzdW1HRiU2JCwkKigpJkkiUkdGKDYjRjcsJkkibkdGKCEiIkYvRkpGL0ZJRi8sJiomJkkjQTFHRig2I0ZJRi8tSSRzaW5HRiU2IyomRklGL0YuRi9GL0YvKiYmSSNBMkdGKEZPRi8tRjFGUkYvRi9GL0ZKL0ZJO0YvSSlpbmZpbml0eUdGJkYvRjBGL0Y1
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.7. Calculation of coefficients (inside of circle)</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLCQqKikmSSJSR0YoNiMiIiEsJkkibkdGKCEiIiIiIkYzRjRGMkY0LCYqJiZJI0ExR0YoNiNGMkY0LUkkc2luR0YlNiMqJkYyRjRJJHBzaUdGKEY0RjRGNComJkkjQTJHRihGOUY0LUkkY29zR0YlRjxGNEY0RjRGOkY0RjMvRj47RjAsJComIiIjRjRJI1BpR0YmRjRGNCwkKipGLEY0RjdGNEYyRjRGSUY0RjM= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZALUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2L1EmJmludDtGJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEmaW5lcnRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMEYnRjUtRiM2KC1GUDYkUSIyRidGNS1GLzYtUTEmSW52aXNpYmxlVGltZXM7RidGNUY7Rj5GQEZCRkRGRkZIRkpGTS1JI21pR0YkNiVRJyYjOTYwO0YnLyUnaXRhbGljR0Y9RjUvRjNRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GZm42JVEhRicvRmpuUSV0cnVlRicvRjZRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNistRi82LlEqJnVtaW51czA7RidGaG9Gam9GO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZlcC1GLDYnLUZmbjYlUSJSRidGaG9Gam8tRiM2JkZPRltvRl1vRjUtRl1wNiQtRiM2KS1GLzYtRmNwRjVGO0Y+RkBGQkZERkZGSEZkcEZmcC1GZm42JVEibkYnRmhvRmpvLUYvNi1RKCZtaW51cztGJ0Y1RjtGPkZARkJGREZGRkhGZHBGZnAtRlA2JFEiMUYnRjVGW29GXW9GNUY1L0Zgb0Zkb0Zib0ZYRmRxRlgtRl1wNiQtRiM2KkZlby1GIzYpLUklbXN1YkdGJDYlLUZmbjYlUSNBMUYnRmhvRmpvLUYjNiZGZHFGW29GXW9GNUZib0ZYLUYjNigtRmZuNiVRJHNpbkYnRmluRjUtRi82LVEwJkFwcGx5RnVuY3Rpb247RidGNUY7Rj5GQEZCRkRGRkZIRkpGTS1GXXA2JC1GIzYoRmVvLUYjNihGZHFGWC1GZm42JVEnJiM5Njg7RidGaW5GNUZbb0Zdb0Y1RmVvRltvRl1vRjVGNUZbb0Zdb0Y1RmVvRltvRl1vRjUtRi82LVEiK0YnRjVGO0Y+RkBGQkZERkZGSEZkcEZmcC1GIzYpLUZlcjYlLUZmbjYlUSNBMkYnRmhvRmpvRmpyRmJvRlgtRiM2KC1GZm42JVEkY29zRidGaW5GNUZhc0Zkc0Zbb0Zdb0Y1RmVvRltvRl1vRjVGZW9GW29GXW9GNUY1RltvRl1vRjVGNUZYRml0LUZdcDYkRmhzRjVGZW8tSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuM2VtRicvJSZkZXB0aEdGY3UvJSpsaW5lYnJlYWtHUSVhdXRvRictRi82L1EwJkRpZmZlcmVudGlhbEQ7RidGMkY1RjhGO0Y+RkBGQkZERkZGSEZKRk1GanMtRi82LVEiPUYnRjVGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZjdi1GLDYnLUYvNi1RKyZJbnRlZ3JhbDtGJ0Y1RjtGPi9GQUZpb0ZCL0ZFRmlvRkZGSEZKRk1GT0ZTRl9vRmJvRmVvRlxwLUYvNi1RIn5GJ0Y1RjtGPkZARkJGREZGRkhGSkZNRml0Rlx1RlgtRi82LUZedkY1RjtGPkZARkJGREZGRkhGSkZNRmpzRlx3LUYvNi1RKWFzc3VtaW5nRidGNUY7Rj5GQEZCRkRGRkZIRkpGTUZcd0ZkcUZcdy1GLzYtUS0mUHJvcG9ydGlvbjtGJ0Y1RjtGPkZARkJGREZGRkhGYnZGZHYtRmZuNiVRKGludGVnZXJGJ0Zob0Zqb0Zbb0Zdb0Y1 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLCQqKikmSSJSR0YoNiMiIiEsJkkibkdGKCEiIiIiIkYzRjRGMkY0LCYqJiZJI0ExR0YoNiNGMkY0LUkkc2luR0YlNiMqJkYyRjRJJHBzaUdGKEY0RjRGNComJkkjQTJHRihGOUY0LUkkY29zR0YlRjxGNEY0RjRGQkY0RjMvRj47RjAsJComIiIjRjRJI1BpR0YmRjRGNCwkKipGLEY0RkBGNEYyRjRGSUY0RjM= 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLywkKiopJkkiUkdGKDYjRjcsJkY0ISIiRi9GQ0YvJkkjQTFHRig2I0Y0Ri9GNEYvRjtGL0ZD Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLywkKiopJkkiUkdGKDYjRjcsJkY0ISIiRi9GQ0YvJkkjQTJHRig2I0Y0Ri9GNEYvRjtGL0ZD As a result of calculations we find: 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 LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YpNiNJJHBzaUdGKSIiIi1JJHNpbkdGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwKSZJIlJHRik2I0Y4LCZGNSEiIkYwRkJGQkY1RkJGPEZCRkI= LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YpNiNJJHBzaUdGKSIiIi1JJGNvc0dGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwKSZJIlJHRik2I0Y4LCZGNSEiIkYwRkJGQkY1RkJGPEZCRkI= or 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 LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YpNiNJJHBzaUdGKSIiIi1JJHNpbkdGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwKSZJIlJHRik2I0Y4LCZGNSEiIkYwRkJGQkY1RkJGPEZCRkI= LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YpNiNJJHBzaUdGKSIiIi1JJGNvc0dGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwKSZJIlJHRik2I0Y4LCZGNSEiIkYwRkJGQkY1RkJGPEZCRkI= And solution of the second boundary-value problem for Laplace's equation outside of circle is: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiwtSSRpbnRHRis2JComLUkiZ0dGJTYjSSRwc2lHRiVGKC1JJHNpbkdGKzYjKiZGMkYoRjxGKEYoL0Y8O0YnLCQqJiIiI0YoSSNQaUdGLEYoRihGKCkmSSJSR0YlRiYsJkYyISIiRihGS0ZLRjJGS0ZGRkstRj42IyomRjJGKEkpJnZhcnBoaTtHRiVGKEYoRksqLC1GNjYkKiZGOUYoLUkkY29zR0YrRj9GKEZBRihGR0ZLRjJGS0ZGRkstRlVGTUYoRktGKC9GMjtGKEkpaW5maW5pdHlHRixGKA==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.8. Poisson integral (outside of circle)</Font></Text-field> This solution can be represented by the Poisson integral. For this purpose we will perform the transformation: 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkLCQqLilJInJHRigsJEkibkdGKCEiIiIiIikmSSJSR0YoNiMiIiEsJkYyRjRGNEY0RjQtSSJnR0YoNiNJJHBzaUdGKEY0LUkkY29zR0YlNiMqJkYyRjQsJkkpJnZhcnBoaTtHRihGNEY+RjNGNEY0RjJGM0kjUGlHRiZGM0YzL0Y+O0Y5LCQqJiIiI0Y0RkVGNEY0L0YyO0Y0SSlpbmZpbml0eUdGJkY0JkkjQjFHRihGOEY0 and use variables R0 = \317\201\342\213\205r, \316\261 = \317\206 - \317\210. and formulas: 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 LyooKUkickc2IiwkSSJuR0YmISIiIiIiKSZJIlJHRiY2IyIiISwmRihGKkYqRipGKi1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjKiZGKEYqLCZJKSZ2YXJwaGk7R0YmRipJJHBzaUdGJkYpRipGKiooRixGKi1GMjYjKiZGKEYqSSZhbHBoYUdGJkYqRiopSSRyaG9HRiZGKEYq Now we have 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 LCYmSSNCMUc2IjYjIiIhIiIiKigmSSJSR0YlRiZGKEkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkc3VtRzYkRi1JKF9zeXNsaWJHRiU2JC1JJGludEdGMTYkKiopSSRyaG9HRiVJIm5HRiVGKC1JImdHRiU2I0kkcHNpR0YlRigtSSRjb3NHRjE2IyomRjpGKEkmYWxwaGFHRiVGKEYoRjpGLi9GPjtGJywkKiYiIiNGKEYsRihGKC9GOjtGKEkpaW5maW5pdHlHRi1GKEYo Consider kernel of Poisson integral: 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKClJJHJob0dGJ0kibkdGJyIiIi1JJGNvc0dGJDYjKiZGLEYtSSZhbHBoYUdGJ0YtRi1GLCEiIi9GLDtGLUkpaW5maW5pdHlHRiU= and relation: 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 Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJHN1bUdGJTYkKigpSSRyaG9HRihJIm5HRigiIiItSSRjb3NHRiU2IyomRjBGMUkmYWxwaGFHRihGMUYxRjAhIiIvRjA7RjFJKWluZmluaXR5R0YmRi8sJComLCZGL0YxLUYzNiNGNkY3RjEsKCooIiIjRjFGL0YxRj5GMUY3RjFGMSokKUYvRkJGMUYxRjdGNw== Integration gives: 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 LCQqJiMiIiIiIiNGJS1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsKCooRiZGJUkkcmhvR0YsRiUtSSRjb3NHRik2I0kmYWxwaGFHRixGJSEiIkYlRiUqJClGMEYmRiVGJUYlRjU= and 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 LCYmSSNCMUc2IjYjIiIhIiIiKigmSSJSR0YlRiZGKEkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRi1JKF9zeXNsaWJHRiU2JCwkKigjRigiIiNGKC1JImdHRiU2I0kkcHNpR0YlRigtSSNsbkdGMTYjLCgqKEY3RihJJHJob0dGJUYoLUkkY29zR0YxNiNJJmFscGhhR0YlRihGLkYoRigqJClGQUY3RihGKEYoRi4vRjs7RicsJComRjdGKEYsRihGKEYoRig= So we receive integral form of the solution (Poisson integral): LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYqLUklbXN1YkdGJDYlLUYsNiVRJ0tlcm5lbEYnRi9GMi1GIzYmRisvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2Ki1GLDYlUSJyRidGL0YyLUkjbW9HRiQ2LVEiLEYnRkcvJSZmZW5jZUdGRi8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZGLyUqc3ltbWV0cmljR0ZGLyUobGFyZ2VvcEdGRi8lLm1vdmFibGVsaW1pdHNHRkYvJSdhY2NlbnRHRkYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYlUScmIzk2NjtGJy9GMEZGRkdGVC1GLDYlUScmIzk2ODtGJ0Zpb0ZHRkFGREZHRkctRlU2LVEqJmNvbG9uZXE7RidGR0ZYL0ZlbkZGRmZuRmhuRmpuRlxvRl5vL0Zhb1EsMC4yNzc3Nzc4ZW1GJy9GZG9GYnAtRiM2Jy1GLDYlUSVzdWJzRidGL0YyLUZNNiQtRiM2KS1GTTYmLUYjNi4tRiw2JVEmJnJobztGJ0Zpb0ZHLUZVNi1RIj1GJ0ZHRlhGYHBGZm5GaG5Gam5GXG9GXm9GYXBGY3AtSSZtZnJhY0dGJDYoLUkobXN1YnN1cEdGJDYnLUYsNiVRIlJGJ0YvRjItRiM2Ji1JI21uR0YkNiRRIjBGJ0ZHRkFGREZHRj8vJTFzdXBlcnNjcmlwdHNoaWZ0R0ZLRkktRiM2JkZRRkFGREZHLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zfcy8lKWJldmVsbGVkR0ZGRlQtRiw2JVEoJmFscGhhO0YnRmlvRkdGZHEtRiw2JVEpJnZhcnBoaTtGJ0Zpb0ZHLUZVNi1RKiZ1bWludXMwO0YnRkdGWEZgcEZmbkZobkZqbkZcb0Zeby9GYW9RLDAuMjIyMjIyMmVtRicvRmRvRl50LUYsNiVRJiZwc2k7RidGaW9GR0ZBRkRGR0ZHLyUlb3BlbkdRInxmckYnLyUmY2xvc2VHUSJ8aHJGJ0ZULUYjNihGanMtRiM2KS1GaHE2KC1GY3I2JFEiMUYnRkctRmNyNiRRIjJGJ0ZHRmpyRl1zRmBzRmJzLUZVNi1RMSZJbnZpc2libGVUaW1lcztGJ0ZHRlhGYHBGZm5GaG5Gam5GXG9GXm9GYG8vRmRvRmJvLUYjNihGKy1GIzYoLUYsNiVRI2xuRidGaW9GRy1GVTYtUTAmQXBwbHlGdW5jdGlvbjtGJ0ZHRlhGYHBGZm5GaG5Gam5GXG9GXm9GYG9GaHUtRk02JC1GIzYoRistRiM2LEZqcy1GIzYrRmJ1RmV1LUYsNiVRJyYjOTYxO0YnRmlvRkdGZXUtRiM2KC1GLDYlUSRjb3NGJ0Zpb0ZHRmB2LUZNNiQtRiM2Ji1GLDYlUScmIzk0NTtGJ0Zpb0ZHRkFGREZHRkdGQUZERkdGK0ZBRkRGRy1GVTYtUSIrRidGR0ZYRmBwRmZuRmhuRmpuRlxvRl5vRl10Rl90Rl91Rmp3LUYjNiYtSSVtc3VwR0YkNiVGW3dGYnVGZnJGQUZERkdGK0ZBRkRGR0YrRkFGREZHRkdGQUZERkdGK0ZBRkRGR0YrRkFGREZHRitGQUZERkdGK0ZBRkRGR0ZHRkFGREZHRitGQUZERkdGK0ZBRkRGR0YrRkFGREZH LCQqJiMiIiIiIiNGJS1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsKCoqRiZGJSZJIlJHRiw2IyIiIUYlSSJyR0YsISIiLUkkY29zR0YpNiMsJkkpJnZhcnBoaTtHRixGJUkkcHNpR0YsRjVGJUY1RiVGJSomKUYwRiZGJSlGNEYmRjVGJUYlRjU= 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 LCYmSSNCMUc2IjYjIiIhIiIiKigmSSJSR0YlRiZGKEkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRi1JKF9zeXNsaWJHRiU2JCwkKigjRigiIiNGKC1JImdHRiU2I0kkcHNpR0YlRigtSSNsbkdGMTYjLCgqKkY3RihGKkYoSSJyR0YlRi4tSSRjb3NHRjE2IywmSSkmdmFycGhpO0dGJUYoRjtGLkYoRi5GKEYoKiYpRipGN0YoKUZBRjdGLkYoRihGLi9GOztGJywkKiZGN0YoRixGKEYoRihGKA==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.9. General representation of the solution in expanded form for circle</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= The solution inside of circle is: 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 Ly0mSSJ1RzYiNiNJJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkSSJyR0YmSSkmdmFycGhpO0dGJiwmJiZJI0IxR0YmRic2IyIiISIiIi1JJHN1bUdGKTYkKiYpRi1JIm5HRiZGNSwmKiYmJkkjQTFHRiZGJzYjRjtGNS1JJHNpbkdGKTYjKiZGO0Y1Ri5GNUY1RjUqJiYmSSNBMkdGJkYnRkFGNS1JJGNvc0dGKUZERjVGNUY1L0Y7O0Y1SSlpbmZpbml0eUdGKkY1 where B1 is arbitrary constant and 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 KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZ0dGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGNEZBRjtGQQ== KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiZ0dGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGNEZBRjtGQQ== Now we redefine coefficients: 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 LyZJI2IxRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZ0dGJTYjSSRwc2lHRiUiIiItSSRzaW5HRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== LyZJI2IyRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZ0dGJTYjSSRwc2lHRiUiIiItSSRjb3NHRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== and get the formula: 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 LCYmJkkjQjFHNiI2I0kkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMiIiEiIiItSSRzdW1HRik2JCoqJkkiUkdGJkYsRi5JIm5HRiYhIiIpKiZJInJHRiZGLkYzRjZGNUYuLCYqJiZJI2IxR0YmNiNGNUYuLUkkc2luR0YpNiMqJkY1Ri5JKSZ2YXJwaGk7R0YmRi5GLkYuKiYmSSNiMkdGJkY+Ri4tSSRjb3NHRilGQUYuRi5GLi9GNTtGLkkpaW5maW5pdHlHRipGLg== The solution outside of circle is: 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 Ly0mSSJ1RzYiNiNJJGV4dEdGJjYkSSJyR0YmSSkmdmFycGhpO0dGJiwmJiZJI0IxR0YmRic2IyIiISIiIi1JJHN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkKiYpRipJIm5HRiZGMiwmKiYmSSNBMUdGJjYjRjtGMi1JJHNpbkdGNTYjKiZGO0YyRitGMkYyRjIqJiZJI0EyR0YmRkBGMi1JJGNvc0dGNUZDRjJGMkYyL0Y7O0YySSlpbmZpbml0eUdGNkYy where 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 LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YpNiNJJHBzaUdGKSIiIi1JJHNpbkdGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwKSZJIlJHRik2I0Y4LCZGNSEiIkYwRkJGQkY1RkJGPEZCRkI= LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJnR0YpNiNJJHBzaUdGKSIiIi1JJGNvc0dGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwKSZJIlJHRik2I0Y4LCZGNSEiIkYwRkJGQkY1RkJGPEZCRkI= Now we redefine coefficients: 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 LyZJI2IxRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZ0dGJTYjSSRwc2lHRiUiIiItSSRzaW5HRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== LyZJI2IyRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiZ0dGJTYjSSRwc2lHRiUiIiItSSRjb3NHRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== and get the formula: 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 LCYmJkkjQjFHNiI2I0kkZXh0R0YmNiMiIiEiIiItSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2JCoqJkkiUkdGJkYpRitJIm5HRiYhIiIpKiZGM0YrSSJyR0YmRjZGNUYrLCYqJiZJI2IxR0YmNiNGNUYrLUkkc2luR0YuNiMqJkY1RitJKSZ2YXJwaGk7R0YmRitGK0YrKiYmSSNiMkdGJkY+RistSSRjb3NHRi5GQUYrRitGKy9GNTtGK0kpaW5maW5pdHlHRi9GKw== Thus we have the solution in expanded form for circle: 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwmJiZJI0IxR0YoNiNJJGludEc2JEYkSShfc3lzbGliR0YoRisiIiItSSRzdW1HRjM2JCoqRilGNUkibkdGKCEiIikqJkYnRjVGKUY7RjpGNSwmKiYmSSNiMUdGKDYjRjpGNS1JJHNpbkdGMzYjKiZGOkY1SSkmdmFycGhpO0dGKEY1RjVGNSomJkkjYjJHRihGQkY1LUkkY29zR0YzRkVGNUY1RjUvRjo7RjVJKWluZmluaXR5R0YkRjUyRilGJywmJiZGMDYjSSRleHRHRihGK0Y1LUY3NiQqKkYpRjVGOkY7KSomRilGNUYnRjtGOkY1Rj5GNUZNRjU=
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">3.10. General representation of the solution in integral form</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= Solution for circle inside of circle is: 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 LCQqJiMiIiIiIiNGJS1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsKCoqRiZGJUkickdGLEYlLUkkY29zR0YpNiMsJkkpJnZhcnBoaTtHRixGJUkkcHNpR0YsISIiRiUmSSJSR0YsNiMiIiFGN0Y3RiVGJSomKUYwRiZGJSlGOEYmRjdGJUYlRjc= 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 LCYmJkkjQjFHNiI2I0kkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMiIiEiIiIqKCZJIlJHRiZGLEYuSSNQaUdGKiEiIi1GKDYkLCQqKCNGLiIiI0YuLUkiZ0dGJjYjSSRwc2lHRiZGLi1JI2xuR0YpNiMsKCoqRjlGLkkickdGJkYuLUkkY29zR0YpNiMsJkkpJnZhcnBoaTtHRiZGLkY9RjNGLkYwRjNGM0YuRi4qJilGQ0Y5Ri4pRjBGOUYzRi5GLkYzL0Y9O0YtLCQqJkY5Ri5GMkYuRi5GLkYu Solution for circle outside of circle is: 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 LCQqJiMiIiIiIiNGJS1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsKCoqRiZGJSZJIlJHRiw2IyIiIUYlLUkkY29zR0YpNiMsJkkpJnZhcnBoaTtHRixGJUkkcHNpR0YsISIiRiVJInJHRixGOkY6RiVGJSomKUYwRiZGJSlGO0YmRjpGJUYlRjo= 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 LCYmJkkjQjFHNiI2I0kkZXh0R0YmNiMiIiEiIiIqKCZJIlJHRiZGKUYrSSNQaUclKnByb3RlY3RlZEchIiItSSRpbnRHNiRGMEkoX3N5c2xpYkdGJjYkLCQqKCNGKyIiI0YrLUkiZ0dGJjYjSSRwc2lHRiZGKy1JI2xuR0Y0NiMsKCoqRjpGK0YtRistSSRjb3NHRjQ2IywmSSkmdmFycGhpO0dGJkYrRj5GMUYrSSJyR0YmRjFGMUYrRisqJilGLUY6RispRklGOkYxRitGK0YxL0Y+O0YqLCQqJkY6RitGL0YrRitGK0Yr So the the integral form of the solution for circle is: 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwkKiYjIiIiIiIjRjAtSSNsbkc2JEYkSShfc3lzbGliR0YoNiMsKCoqRjFGMEYnRjAtSSRjb3NHRjQ2IywmSSkmdmFycGhpO0dGKEYwSSRwc2lHRighIiJGMEYpRj9GP0YwRjAqJilGJ0YxRjApRilGMUY/RjBGMEY/MkYpRicsJComRi9GMC1GMzYjLCgqKkYxRjBGKUYwRjlGMEYnRj9GP0YwRjAqJkZCRjBGQUY/RjBGMEY/ 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwmJiZJI0IxR0YoNiNJJGludEc2JEYkSShfc3lzbGliR0YoRisiIiIqKEYpRjVJI1BpR0YkISIiLUYyNiQsJCooI0Y1IiIjRjUtSSJnR0YoNiNJJHBzaUdGKEY1LUkjbG5HRjM2IywoKipGPkY1RidGNS1JJGNvc0dGMzYjLCZJKSZ2YXJwaGk7R0YoRjVGQkY4RjVGKUY4RjhGNUY1KiYpRidGPkY1KUYpRj5GOEY1RjVGOC9GQjtGLCwkKiZGPkY1RjdGNUY1RjVGNTJGKUYnLCYmJkYwNiNJJGV4dEdGKEYrRjUqKEYpRjVGN0Y4LUYyNiQsJCooRj1GNUY/RjUtRkQ2IywoKipGPkY1RilGNUZIRjVGJ0Y4RjhGNUY1KiZGT0Y1Rk5GOEY1RjVGOEZQRjVGNQ==
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">4. The third boundary-value problem for Laplace's equation in circle</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.1. The third boundary-value problem statement (inside of circle)</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYmLUYsNiVRKHJlc3RhcnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRitGPEY/RkJGK0Y8Rj9GQg== Consider the third boundary-value problem for Laplace's equation inside of circle. This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary condition on the circle boundary S: 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 = h, where h is given function and S is circumference of radius R0. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu and boundary conditions are: 1) boundedness of solution at origin of coordinates: u < \342\210\236; 2) value of derivative of function u on the circle boundary S is: 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 = h(\317\206).
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.2. Accounting of boundary conditions (inside of circle)</Font></Text-field> 1) Boundedness of solution at origin of coordinates implies: B20 = 0, B2n = 0, whence it follows (with redefinition of A1n, A2n and B1n): 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 IiIh IiIh IiIi 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== JkkjQjFHNiI2IyIiIQ== KUkickc2IkkibkdGJA== So we have: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjJGKC1JJHNpbkdGKzYjKiZGMkYoSSkmdmFycGhpO0dGJUYoRihGKComJkkjQTJHRiVGN0YoLUkkY29zR0YrRjpGKEYoRigvRjI7RihJKWluZmluaXR5R0YsRig= and 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKClJInJHRicsJkkibkdGJyIiIkYuISIiRi5GLUYuLCYqJiZJI0ExR0YnNiNGLUYuLUkkc2luR0YkNiMqJkYtRi5JKSZ2YXJwaGk7R0YnRi5GLkYuKiYmSSNBMkdGJ0Y0Ri4tSSRjb3NHRiRGN0YuRi5GLi9GLTtGLkkpaW5maW5pdHlHRiU= 2) The second boundary condition implies: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiVJIm5HRiVGKCwmKiYmSSNBMUdGJTYjRjJGKC1JJHNpbkdGKzYjKiZGMkYoSSRwc2lHRiVGKEYoRigqJiZJI0EyR0YlRjdGKC1JJGNvc0dGK0Y6RihGKEYoL0YyO0YoSSlpbmZpbml0eUdGLEYo 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKClJInJHRicsJkkibkdGJyIiIkYuISIiRi5GLUYuLCYqJiZJI0ExR0YnNiNGLUYuLUkkc2luR0YkNiMqJkYtRi5JJHBzaUdGJ0YuRi5GLiomJkkjQTJHRidGNEYuLUkkY29zR0YkRjdGLkYuRi4vRi07Ri5JKWluZmluaXR5R0Yl LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSVtc3ViR0YkNiUtRiM2Ji1GODYlLUYsNiVRIlVGJ0YvRjItRiM2Ji1GLDYlUSNyaEYnRi9GMi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0ZGRklGTC1GIzYmRitGRkZJRkxGTi1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRJiZwc2k7RicvRjBGS0ZMRkZGSUZMRkxGRkZJRkwtSSNtb0dGJDYtUSomY29sb25lcTtGJ0ZMLyUmZmVuY2VHRksvJSpzZXBhcmF0b3JHRksvJSlzdHJldGNoeUdGSy8lKnN5bW1ldHJpY0dGSy8lKGxhcmdlb3BHRksvJS5tb3ZhYmxlbGltaXRzR0ZLLyUnYWNjZW50R0ZLLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGam8tRiw2JVElc3Vic0YnRi9GMi1GVDYkLUYjNjAtRiw2JVEickYnRi9GMi1GZ242LlEiPUYnRi9GMkZqbkZcb0Zeb0Zgb0Zib0Zkb0Zmb0Zob0ZbcC1GODYlLUYsNiVRIlJGJ0YvRjItRiM2Ji1JI21uR0YkNiRRIjBGJ0ZMRkZGSUZMRk4tRmduNi1RIixGJ0ZMRmpuL0Zdb0YxRl5vRmBvRmJvRmRvRmZvL0Zpb1EmMC4wZW1GJy9GXHBRLDAuMzMzMzMzM2VtRictRjg2JS1GLDYlUSJ1RidGL0YyLUYjNiZGZHBGRkZJRkxGTi1GVDYkLUYjNihGZHBGZXFGWEZGRklGTEZMLUZnbjYtUSIrRidGTEZqbkZcb0Zeb0Zgb0Zib0Zkb0Zmby9GaW9RLDAuMjIyMjIyMmVtRicvRlxwRlxzLUYsNiVRJyYjOTUxO0YnRmVuRkwtRmduNi1RIn5GJ0ZMRmpuRlxvRl5vRmBvRmJvRmRvRmZvRmlxL0ZccEZqcS1GODYlRl9yRlFGTkZkckZGRklGTEZMRkZGSUZM LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCooKSZJIlJHRig2IyIiISwmSSJuR0YoIiIiRjIhIiJGMkYxRjIsJiomJkkjQTFHRig2I0YxRjItSSRzaW5HRiU2IyomRjFGMkkkcHNpR0YoRjJGMkYyKiYmSSNBMkdGKEY4RjItSSRjb3NHRiVGO0YyRjJGMi9GMTtGMkkpaW5maW5pdHlHRiZGMiomSSRldGFHRihGMiwmJkkjQjFHRihGLkYyLUYkNiQqJilGLEYxRjJGNEYyRkNGMkYyRjI= 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 Ly1JImhHNiI2I0kkcHNpR0YlLCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JCooKSZJIlJHRiU2IyIiISwmSSJuR0YlIiIiRjchIiJGN0Y2RjcsJiomJkkjQTFHRiU2I0Y2RjctSSRzaW5HRis2IyomRjZGN0YnRjdGN0Y3KiYmSSNBMkdGJUY9RjctSSRjb3NHRitGQEY3RjdGNy9GNjtGN0kpaW5maW5pdHlHRixGNyomSSRldGFHRiVGNywmJkkjQjFHRiVGM0Y3LUYqNiQqJilGMUY2RjdGOUY3RkdGN0Y3Rjc= Using these relations we will find: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJi1JJHN1bUdGJTYkKigpJkkiUkdGKDYjRjcsJkkibkdGKEYvRi8hIiJGL0ZJRi8sJiomJkkjQTFHRig2I0ZJRi8tRjE2IyomRklGL0YuRi9GL0YvKiYmSSNBMkdGKEZPRi8tSSRjb3NHRiVGUUYvRi9GLy9GSTtGL0kpaW5maW5pdHlHRiZGLyomSSRldGFHRihGLywmJkkjQjFHRihGR0YvLUZBNiQqJilGRUZJRi9GS0YvRlhGL0YvRi9GL0YwRi9GNQ== 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJi1JJHN1bUdGJTYkKigpJkkiUkdGKDYjRjcsJkkibkdGKEYvRi8hIiJGL0ZJRi8sJiomJkkjQTFHRig2I0ZJRi8tSSRzaW5HRiU2IyomRklGL0YuRi9GL0YvKiYmSSNBMkdGKEZPRi8tRjFGUkYvRi9GLy9GSTtGL0kpaW5maW5pdHlHRiZGLyomSSRldGFHRihGLywmJkkjQjFHRihGR0YvLUZBNiQqJilGRUZJRi9GS0YvRlhGL0YvRi9GL0YwRi9GNQ==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.3. Calculation of coefficients (inside of circle)</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGKDYjSSkmdmFycGhpO0dGKC9GLTsiIiEsJComIiIjIiIiSSNQaUdGJkY0RjQsJCoqRjNGNEkkZXRhR0YoRjQmSSNCMUdGKDYjRjBGNEY1RjRGNA== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY/LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2L1EmJmludDtGJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEmaW5lcnRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMEYnRjUtRiM2KC1GUDYkUSIyRidGNS1GLzYtUTEmSW52aXNpYmxlVGltZXM7RidGNUY7Rj5GQEZCRkRGRkZIRkpGTS1JI21pR0YkNiVRJyYjOTYwO0YnLyUnaXRhbGljR0Y9RjUvRjNRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JKG1mZW5jZWRHRiQ2JC1GIzYvLUYsNictRmZuNiVRIlJGJy9Gam5RJXRydWVGJy9GNlEnaXRhbGljRictRiM2JkZPRltvRl1vRjUtRmZvNiQtRiM2KC1GZm42JVEibkYnRl9wRmFwLUYvNi1RKCZtaW51cztGJ0Y1RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GYHEtRlA2JFEiMUYnRjVGW29GXW9GNUY1L0Zgb0Zkb0Zib0ZYRmlwRlgtRmZvNiQtRiM2Ki1GZm42JVEhRidGX3BGYXAtRiM2KS1JJW1zdWJHRiQ2JS1GZm42JVEjQTFGJ0ZfcEZhcC1GIzYmRmlwRltvRl1vRjVGYm9GWC1GIzYoLUZmbjYlUSRzaW5GJ0ZpbkY1LUYvNi1RMCZBcHBseUZ1bmN0aW9uO0YnRjVGO0Y+RkBGQkZERkZGSEZKRk0tRmZvNiQtRiM2KEZqcS1GIzYoRmlwRlgtRmZuNiVRJyYjOTY4O0YnRmluRjVGW29GXW9GNUZqcUZbb0Zdb0Y1RjVGW29GXW9GNUZqcUZbb0Zdb0Y1LUYvNi1RIitGJ0Y1RjtGPkZARkJGREZGRkhGX3FGYXEtRiM2KS1GYHI2JS1GZm42JVEjQTJGJ0ZfcEZhcEZlckZib0ZYLUYjNigtRmZuNiVRJGNvc0YnRmluRjVGXHNGX3NGW29GXW9GNUZqcUZbb0Zdb0Y1RmpxRltvRl1vRjVGNUZocy1GZm42JVEnJiM5NTE7RidGaW5GNS1GLzYtUScmc2RvdDtGJ0Y1RjtGPkZARkJGREZGRkhGSkZNLUYjNigtRiw2J0ZccEZjcEZpcEZlcUZib0ZYRmZxRltvRl1vRjVGanFGW29GXW9GNUY1RlhGaXItRmZvNiRGY3NGNUZqcS1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4zZW1GJy8lJmRlcHRoR0ZodS8lKmxpbmVicmVha0dRJWF1dG9GJy1GLzYvUTAmRGlmZmVyZW50aWFsRDtGJ0YyRjVGOEY7Rj5GQEZCRkRGRkZIRkpGTUZlcy1GLzYtUSI9RidGNUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORmh2LUYsNictRi82LVErJkludGVncmFsO0YnRjVGO0Y+L0ZBRmBwRkIvRkVGYHBGRkZIRkpGTUZPRlNGX29GYm9GanEtRiM2Jy1GZm82JC1GIzYvRmpvRlhGaXBGWEZmcUZocy1GZm42JVEmJmV0YTtGJ0ZpbkY1Rmp0Rl11RmpxRltvRl1vRjVGNUZYRltvRl1vRjUtRi82LVEifkYnRjVGO0Y+RkBGQkZERkZGSEZKRk1GaXJGYXVGWC1GLzYtRmN2RjVGO0Y+RkBGQkZERkZGSEZKRk0tRmZuNiVRJiZwc2k7RidGaW5GNUZqdy1GLzYtUSlhc3N1bWluZ0YnRjVGO0Y+RkBGQkZERkZGSEZKRk1GandGaXBGanctRi82LVEtJlByb3BvcnRpb247RidGNUY7Rj5GQEZCRkRGRkZIRmd2Rml2LUZmbjYlUShpbnRlZ2VyRidGX3BGYXBGW29GXW9GNQ== Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYsJiooKSZJIlJHRig2IyIiISwmSSJuR0YoIiIiRjQhIiJGNEYzRjQsJiomJkkjQTFHRig2I0YzRjQtSSRzaW5HRiU2IyomRjNGNEkkcHNpR0YoRjRGNEY0KiYmSSNBMkdGKEY6RjQtSSRjb3NHRiVGPUY0RjRGNEY0KihJJGV0YUdGKEY0KUYuRjNGNEY2RjRGNEY0RjtGNC9GPztGMSwkKiYiIiNGNEkjUGlHRiZGNEY0KipGLUY0RjhGNEZNRjQsJkYzRjQqJkZGRjRGLkY0RjRGNA== 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYsJiooKSZJIlJHRig2IyIiISwmSSJuR0YoIiIiRjQhIiJGNEYzRjQsJiomJkkjQTFHRig2I0YzRjQtSSRzaW5HRiU2IyomRjNGNEkkcHNpR0YoRjRGNEY0KiYmSSNBMkdGKEY6RjQtSSRjb3NHRiVGPUY0RjRGNEY0KihJJGV0YUdGKEY0KUYuRjNGNEY2RjRGNEY0RkNGNC9GPztGMSwkKiYiIiNGNEkjUGlHRiZGNEY0KipGLUY0RkFGNEZNRjQsJkYzRjQqJkZGRjRGLkY0RjRGNA== 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyoqKSZJIlJHRig2I0Y3LCZGNEYvRi8hIiJGLyZJI0ExR0YoNiNGNEYvRjtGLywmRjRGLyomSSRldGFHRihGL0Y+Ri9GL0Yv 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyoqKSZJIlJHRig2I0Y3LCZGNEYvRi8hIiJGLyZJI0EyR0YoNiNGNEYvRjtGLywmRjRGLyomSSRldGFHRihGL0Y+Ri9GL0Yv As a result of calculations we find: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUkjbWlHRiQ2JVEmc29sdmVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2KS1GLDYlUSFGJ0YvRjItRiM2NS1JKG1zdWJzdXBHRiQ2Jy1JI21vR0YkNi1RJiZpbnQ7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZKLyUpc3RyZXRjaHlHRkovJSpzeW1tZXRyaWNHRkovJShsYXJnZW9wR0ZKLyUubW92YWJsZWxpbWl0c0dGSi8lJ2FjY2VudEdGSi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlktSSNtbkdGJDYkUSIwRidGRi1GIzYoLUZnbjYkUSIyRidGRi1GQzYtUTEmSW52aXNpYmxlVGltZXM7RidGRkZIRktGTUZPRlFGU0ZVRldGWi1GLDYlUScmIzk2MDtGJy9GMEZKRkYvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdGSkZGLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjJGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjotRiM2KC1GLDYlUSJoRidGL0YyLUZDNi1RMCZBcHBseUZ1bmN0aW9uO0YnRkZGSEZLRk1GT0ZRRlNGVUZXRlotRjY2JC1GIzYmLUYsNiVRJyYjOTY2O0YnRmVvRkZGZm9GaW9GRkZGRmZvRmlvRkZGOi1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4zZW1GJy8lJmRlcHRoR0ZlcS8lKmxpbmVicmVha0dRJWF1dG9GJy1GQzYtUTAmRGlmZmVyZW50aWFsRDtGJ0ZGRkhGS0ZNRk9GUUZTRlVGV0ZaRl1xLUZDNi1RIj1GJ0ZGRkhGS0ZNRk9GUUZTRlUvRlhRLDAuMjc3Nzc3OGVtRicvRmVuRmVyRlxvRl9vLUYsNiVRJyYjOTUxO0YnRmVvRkZGX28tSSVtc3ViR0YkNiUtRiw2JVEjQjFGJ0YvRjItRiM2JkZmbkZmb0Zpb0ZGRl5wRl9vRmJvLUZDNi1RIixGJ0ZGRkgvRkxGMUZNRk9GUUZTRlVGVy9GZW5RLDAuMzMzMzMzM2VtRidGZm9GaW9GRkZqckY6RmZvRmlvRkZGRi1GQzYtUSI7RidGRkZIRmVzRk1GT0ZRRlNGVUZXRmZyLUZhcTYmRmNxL0ZncVEmMC4wZW1GJ0ZpcS9GXHJRKG5ld2xpbmVGJ0YrLUY2NiQtRiM2K0Y6LUYjNihGOi1GIzYqRjotRiM2LEY/RjotRiM2KkY6LUYjNihGY3BGZnAtRjY2JC1GIzYmLUYsNiVRJyYjOTY4O0YnRmVvRkZGZm9GaW9GRkZGRmZvRmlvRkZGX28tRiM2KC1GLDYlUSRzaW5GJ0Zlb0ZGRmZwLUY2NiQtRiM2KEY6LUYjNigtRiw2JVEibkYnRi9GMkZfb0ZjdUZmb0Zpb0ZGRjpGZm9GaW9GRkZGRmZvRmlvRkZGOkZmb0Zpb0ZGRjpGYHFGXnJGY3VGZm9GaW9GRkZhci1GIzYsLUZANictRiw2JVEiUkYnRi9GMkZgcy1GNjYkLUYjNihGYXYtRkM2LVEoJm1pbnVzO0YnRkZGSEZLRk1GT0ZRRlNGVS9GWFEsMC4yMjIyMjIyZW1GJy9GZW5GY3ctRmduNiRRIjFGJ0ZGRmZvRmlvRkZGRi9GXHBGYHBGXnBGX28tRltzNiUtRiw2JVEjQTFGJ0YvRjItRiM2JkZhdkZmb0Zpb0ZGRl5wRl9vRmJvRl9vLUY2NiQtRiM2KUZhdi1GQzYtUSIrRidGRkZIRktGTUZPRlFGU0ZVRmJ3RmR3LUYjNihGZ3JGX28tRltzNiVGaHZGYHNGXnBGZm9GaW9GRkY6RmZvRmlvRkZGRkZmb0Zpb0ZGRjpGZm9GaW9GRkY6RmZvRmlvRkZGOi1GIzYoRjotRiM2JkY6RmZvRmlvRkZGOkZmb0Zpb0ZGRmJzRml3RmZvRmlvRkZGRkZoc0ZbdEYrLUY2NiQtRiM2KUY6LUYjNipGOi1GIzYsRj9GOi1GIzYqRjpGXXVGX28tRiM2KC1GLDYlUSRjb3NGJ0Zlb0ZGRmZwRlt2RmZvRmlvRkZGOkZmb0Zpb0ZGRjpGYHFGXnJGY3VGZm9GaW9GRkZhci1GIzYsRmZ2Rl9vLUZbczYlLUYsNiVRI0EyRidGL0YyRl54Rl5wRl9vRmJvRl9vRmB4RmZvRmlvRkZGOkZmb0Zpb0ZGRmJzRmB6RmZvRmlvRkZGRkY6RjpGOkZmb0Zpb0ZG LCQqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJQ== KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiaEdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGO0ZBLCZGNEYvKiZJJGV0YUdGKEYvRj1GL0YvRkE= KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiaEdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGO0ZBLCZGNEYvKiZJJGV0YUdGKEYvRj1GL0YvRkE= or 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 LCQqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJQ== KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiaEdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGO0ZBLCZGNEYvKiZJJGV0YUdGKEYvRj1GL0YvRkE= KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiaEdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGO0ZBLCZGNEYvKiZJJGV0YUdGKEYvRj1GL0YvRkE= And solution of the third boundary-value problem for Laplace's equation inside of circle is: 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 LCYqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJS1JJHN1bUdGKTYkKiYpSSJyR0YsSSJuR0YsRiUsJiosLUYoNiQqJi1GLzYjSSRwc2lHRixGJS1JJHNpbkdGKTYjKiZGQEYlRkhGJUYlL0ZIRjNGJSkmSSJSR0YsNiNGNCwmRkBGJUYlRjlGOUY3RjksJkZARiUqJkY4RiVGT0YlRiVGOS1GSjYjKiZGQEYlRjFGJUYlRiUqLC1GKDYkKiZGRkYlLUkkY29zR0YpRktGJUZNRiVGTkY5RjdGOUZTRjktRmduRlZGJUYlRiUvRkA7RiVJKWluZmluaXR5R0YqRiU= or 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKi4pSSJyR0YoSSJuR0YoIiIiKSZJIlJHRig2IyIiISwmRjAhIiJGMUYxRjEtSSJoR0YoNiNJJHBzaUdGKEYxLUkkY29zR0YlNiMqJkYwRjEsJkkpJnZhcnBoaTtHRihGMUY8RjhGMUYxSSNQaUdGJkY4LCZGMEYxKiZJJGV0YUdGKEYxRjNGMUYxRjgvRjw7RjYsJComIiIjRjFGQ0YxRjEvRjA7RjFJKWluZmluaXR5R0YmRjEtRis2JCwkKiojRjFGS0YxRkZGOEZDRjgtRjo2I0ZCRjFGMS9GQkZIRjE=
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.4. The third boundary-value problem statement (outside of circle)</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYmLUYsNiVRKHJlc3RhcnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRitGPEY/RkJGK0Y8Rj9GQg== Consider the third boundary-value problem for Laplace's equation inside of circle. This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary condition on the circle boundary S: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY3LUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNjhGKy1JJm1mcmFjR0YkNiotRiM2NS1JKG1mZW5jZWRHRiQ2Ni1GIzY7LUY4NiotSSNtb0dGJDY/USsmUGFydGlhbEQ7RicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvRjBGTy8lKnVuZGVybGluZUdGTy8lKnN1YnNjcmlwdEdGTy8lLHN1cGVyc2NyaXB0R0ZPLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSdvcGFxdWVHRk8vJStleGVjdXRhYmxlR0ZPLyUpcmVhZG9ubHlHRk8vJSljb21wb3NlZEdGTy8lKmNvbnZlcnRlZEdGTy8lK2ltc2VsZWN0ZWRHRk8vJSxwbGFjZWhvbGRlckdGTy8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGTy8lMGZvbnRfc3R5bGVfbmFtZUdRKk5vcm1hbF8wMkYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGXnAvJSlzdHJldGNoeUdGXnAvJSpzeW1tZXRyaWNHRl5wLyUobGFyZ2VvcEdGXnAvJS5tb3ZhYmxlbGltaXRzR0ZecC8lJ2FjY2VudEdGXnAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZdcS1GIzY3RkMtRkQ2P1EifkYnRkdGSkZNRlBGUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmdvRmpvL0ZdcEZPL0ZgcEZPL0ZicEZPL0ZkcEZPL0ZmcEZPL0ZocEZPL0ZqcEZPRltxRl5xLUYsNjZRIm5GJ0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Znb0Zqb0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqby8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZHIvJSliZXZlbGxlZEdGTy8lK2ZvcmVncm91bmRHRlkvJStiYWNrZ3JvdW5kR0ZmbkZicS1GLDY2USJ1RidGR0ZKRk1GUEZRRlNGVUZXRlpGZ25GaW5GW29GXW9GX29GYW9GY29GZW9GZ29Gam8tRkQ2P1EiK0YnRkdGSkZNRlBGUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmdvRmpvRmVxRmZxRmdxRmhxRmlxRmpxRltyL0ZccVEsMC4yMjIyMjIyZW1GJy9GX3FGZHMtRiw2NlEmJmV0YTtGJ0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Znb0Zqby1GRDY/UScmc2RvdDtGJ0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Znb0Zqb0ZlcUZmcUZncUZocUZpcUZqcUZbckZbcUZecUZdc0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqb0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Znb0Zqb0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqby1JKW1waGFudG9tR0YkNiQtRiM2N0YrLUYjNjdGKy1GIzY4RistRiw2NlEieEYnRkdGSkZNRi9GUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmdvRjItRkQ2P1EiPUYnRkdGSkZNRlBGUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmdvRmpvRlxwRl9wRmFwRmNwRmVwRmdwRmlwL0ZccVEsMC4yNzc3Nzc4ZW1GJy9GX3FGXHUtRiw2NlEiYUYnRkdGSkZNRi9GUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmdvRjJGR0ZKRk1GUEZRRlNGVUZXRlpGZ25GaW5GW29GXW9GX29GYW9GY29GZW9Gam9GK0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqb0YrRkdGSkZNRlBGUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmpvLyUsY29uc3RyYWludHNHUSxoZWlnaHQtb25seUYnL0ZgclEiMEYnRmJyRmVyRmdyRmlyRltzLUZENj9RKSZ2ZXJiYXI7RidGR0ZKRk1GUEZRRlNGVUZXRlpGZ25GaW5GW29GXW9GX29GYW9GY29GZW9GZ29Gam9GXHBGX3AvRmJwRjFGY3BGZXBGZ3BGaXAvRlxxUSwwLjExMTExMTFlbUYnL0ZfcUZbdi1GODYqLUZddDYkLUYjNjdGKy1GIzY2RistRiw2NlElZih4KUYnRkdGSkZNRi9GUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmdvRjJGR0ZKRk1GUEZRRlNGVUZXRlpGZ25GaW5GW29GXW9GX29GYW9GY29GZW9Gam9GK0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqb0ZhdS1GIzY1LUYsNjZRIlNGJ0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Znb0Zqb0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqb0ZkdUZickZlckZnckZpckZbc0ZHRkpGTUZQRlFGU0ZVRldGWkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zlb0Zqb0YrRkdGSkZNRlBGUUZTRlVGV0ZaRmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmpv = h, where h is given function and S is circumference of radius R0. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 Ly1JInVHNiI2JEkickdGJUkpJnZhcnBoaTtHRiUsKCZJI0IxR0YlNiMiIiEiIiIqJiZJI0IyR0YlRixGLi1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJ0YuRi4tSSRzdW1HRjQ2JComLCYqJiZGKzYjSSJuR0YlRi4pRidGQEYuRi4qJiZGMUY/Ri4pRicsJEZAISIiRi5GLkYuLCYqJiZJI0ExR0YlRj9GLi1JJHNpbkdGNDYjKiZGQEYuRihGLkYuRi4qJiZJI0EyR0YlRj9GLi1JJGNvc0dGNEZNRi5GLkYuL0ZAO0YuSSlpbmZpbml0eUdGNUYu and boundary conditions are: 1) boundedness of solution: u < \342\210\236; 2) value of derivative of function u on the circle boundary S is: 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 = h(\317\206).
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.5. Accounting of boundary conditions (outside of circle)</Font></Text-field> 1) Boundedness of solution at origin of coordinates implies: B20 = 0, B1n = 0, whence it follows (with redefinition of A1n, A2n and B1n): 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 IiIh IiIh IiIi 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 LCYqJiZJI0ExRzYiNiNJIm5HRiYiIiItSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IyomRihGKUkpJnZhcnBoaTtHRiZGKUYpRikqJiZJI0EyR0YmRidGKS1JJGNvc0dGLEYvRilGKQ== JkkjQjFHNiI2IyIiIQ== KUkickc2IiwkSSJuR0YkISIi So we have: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJKSZ2YXJwaGk7R0YlRihGKEYoKiYmSSNBMkdGJUY5RigtSSRjb3NHRitGPEYoRihGKC9GMztGKEkpaW5maW5pdHlHRixGKA== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiVRInJGJ0YyRjUvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2KEY6LUkjbW9HRiQ2LVEiLEYnRkMvJSZmZW5jZUdGQi8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLzYlUScmIzk2NjtGJy9GM0ZCRkNGPUZARkNGQy1GTjYtUSomY29sb25lcTtGJ0ZDRlEvRlRGQkZVRldGWUZlbkZnbi9Gam5RLDAuMjc3Nzc3OGVtRicvRl1vRmhvLUYvNiVRKXNpbXBsaWZ5RidGMkY1LUZJNiQtRiM2Ki1JJm1mcmFjR0YkNigtRk42LVErJlBhcnRpYWxEO0YnRkMvRlJRJnVuc2V0RicvRlRGaHAvRlZGaHAvRlhGaHAvRlpGaHAvRmZuRmhwL0ZobkZocEZpbi9GXW9GW28tRiM2KEZkcC1GTjYtUSJ+RidGQ0ZRRmZvRlVGV0ZZRmVuRmduRmluRl9xRjpGPUZARkMvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmpxLyUpYmV2ZWxsZWRHRkItRi82JVEhRidGMkY1LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjRlbUYnLyUmZGVwdGhHRmdyLyUqbGluZWJyZWFrR1ElYXV0b0YnRi5GSEY9RkBGQ0ZDRj1GQEZD LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooKUkickdGJywmSSJuR0YnISIiIiIiRi9GMEYuRjAsJiomJkkjQTFHRic2I0YuRjAtSSRzaW5HRiQ2IyomRi5GMEkpJnZhcnBoaTtHRidGMEYwRjAqJiZJI0EyR0YnRjVGMC1JJGNvc0dGJEY4RjBGMEYwRi8vRi47RjBJKWluZmluaXR5R0Yl 2) The second boundary condition implies: 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 LCYmSSNCMUc2IjYjIiIhIiIiLUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJilJInJHRiUsJEkibkdGJSEiIkYoLCYqJiZJI0ExR0YlNiNGM0YoLUkkc2luR0YrNiMqJkYzRihJJHBzaUdGJUYoRihGKComJkkjQTJHRiVGOUYoLUkkY29zR0YrRjxGKEYoRigvRjM7RihJKWluZmluaXR5R0YsRig= 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 LUkkc3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooKUkickdGJywmSSJuR0YnISIiIiIiRi9GMEYuRjAsJiomJkkjQTFHRic2I0YuRjAtSSRzaW5HRiQ2IyomRi5GMEkkcHNpR0YnRjBGMEYwKiYmSSNBMkdGJ0Y1RjAtSSRjb3NHRiRGOEYwRjBGMEYvL0YuO0YwSSlpbmZpbml0eUdGJQ== 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwkKigpJkkiUkdGKDYjIiIhLCZJIm5HRighIiIiIiJGM0Y0RjJGNCwmKiYmSSNBMUdGKDYjRjJGNC1JJHNpbkdGJTYjKiZGMkY0SSRwc2lHRihGNEY0RjQqJiZJI0EyR0YoRjlGNC1JJGNvc0dGJUY8RjRGNEY0RjMvRjI7RjRJKWluZmluaXR5R0YmRjQqJkkkZXRhR0YoRjQsJiZJI0IxR0YoRi9GNC1GJDYkKiYpRi0sJEYyRjNGNEY1RjRGREY0RjRGNA== 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 Ly1JImhHNiI2I0kkcHNpR0YlLCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JCwkKigpJkkiUkdGJTYjIiIhLCZJIm5HRiUhIiIiIiJGOEY5RjdGOSwmKiYmSSNBMUdGJTYjRjdGOS1JJHNpbkdGKzYjKiZGN0Y5RidGOUY5RjkqJiZJI0EyR0YlRj5GOS1JJGNvc0dGK0ZBRjlGOUY5RjgvRjc7RjlJKWluZmluaXR5R0YsRjkqJkkkZXRhR0YlRjksJiZJI0IxR0YlRjRGOS1GKjYkKiYpRjIsJEY3RjhGOUY6RjlGSEY5RjlGOQ== Using these relations we will find: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJi1JJHN1bUdGJTYkLCQqKCkmSSJSR0YoNiNGNywmSSJuR0YoISIiRi9GS0YvRkpGLywmKiYmSSNBMUdGKDYjRkpGLy1GMTYjKiZGSkYvRi5GL0YvRi8qJiZJI0EyR0YoRlBGLy1JJGNvc0dGJUZSRi9GL0YvRksvRko7Ri9JKWluZmluaXR5R0YmRi8qJkkkZXRhR0YoRi8sJiZJI0IxR0YoRkhGLy1GQTYkKiYpRkYsJEZKRktGL0ZMRi9GWUYvRi9GL0YvRjBGL0Y1 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJImtHRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLy1GJDYkKiYsJi1JJHN1bUdGJTYkLCQqKCkmSSJSR0YoNiNGNywmSSJuR0YoISIiRi9GS0YvRkpGLywmKiYmSSNBMUdGKDYjRkpGLy1JJHNpbkdGJTYjKiZGSkYvRi5GL0YvRi8qJiZJI0EyR0YoRlBGLy1GMUZTRi9GL0YvRksvRko7Ri9JKWluZmluaXR5R0YmRi8qJkkkZXRhR0YoRi8sJiZJI0IxR0YoRkhGLy1GQTYkKiYpRkYsJEZKRktGL0ZMRi9GWUYvRi9GL0YvRjBGL0Y1
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.6. Calculation of coefficients (outside of circle)</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRi1JI21uR0YkNiRRIjBGJ0YyLUYjNigtRko2JFEiMkYnRjItRi82LVExJkludmlzaWJsZVRpbWVzO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGN0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjdGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GVjYlUSFGJy9GWlEldHJ1ZUYnL0YzUSdpdGFsaWNGJy1GIzYoLUZWNiVRImhGJ0Zjb0Zlby1GLzYtUTAmQXBwbHlGdW5jdGlvbjtGJ0YyRjVGOEY6RjxGPkZARkJGREZHLUkobWZlbmNlZEdGJDYkLUYjNiYtRlY2JVEnJiM5NjY7RidGWUYyRmVuRmhuRjJGMkZlbkZobkYyRmBvLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjNlbUYnLyUmZGVwdGhHRlxxLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYvNi1RMCZEaWZmZXJlbnRpYWxEO0YnRjJGNUY4RjpGPEY+RkBGQkZERkdGZHAtRi82LVEiPUYnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4yNzc3Nzc4ZW1GJy9GSEZcci1GVjYlUScmIzk1MTtGJ0ZZRjItRi82LVEifkYnRjJGNUY4RjpGPEY+RkBGQkZERkctRiM2LEYrRmBvLUYjNictSSVtc3ViR0YkNiUtRlY2JVEjQjFGJ0Zjb0Zlby1GIzYmRklGZW5GaG5GMkZdb0ZhckZlbkZobkYyRmBvRmdwRmVxRmRwRmVuRmhuRjJGYG9GZW5GaG5GMg== Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGKDYjSSkmdmFycGhpO0dGKC9GLTsiIiEsJComIiIjIiIiSSNQaUdGJkY0RjQsJCoqRjNGNEkkZXRhR0YoRjQmSSNCMUdGKDYjRjBGNEY1RjRGNA== 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYsJiooKSZJIlJHRig2IyIiISwmSSJuR0YoISIiIiIiRjRGNUYzRjUsJiomJkkjQTFHRig2I0YzRjUtSSRzaW5HRiU2IyomRjNGNUkkcHNpR0YoRjVGNUY1KiYmSSNBMkdGKEY6RjUtSSRjb3NHRiVGPUY1RjVGNUY0KihJJGV0YUdGKEY1KUYuLCRGM0Y0RjVGNkY1RjVGNUY7RjUvRj87RjEsJComIiIjRjVJI1BpR0YmRjVGNSoqRjhGNUZORjUsJkYzRjQqJkZGRjVGLkY1RjVGNUYtRjU= 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 Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYsJiooKSZJIlJHRig2IyIiISwmSSJuR0YoISIiIiIiRjRGNUYzRjUsJiomJkkjQTFHRig2I0YzRjUtSSRzaW5HRiU2IyomRjNGNUkkcHNpR0YoRjVGNUY1KiYmSSNBMkdGKEY6RjUtSSRjb3NHRiVGPUY1RjVGNUY0KihJJGV0YUdGKEY1KUYuLCRGM0Y0RjVGNkY1RjVGNUZDRjUvRj87RjEsJComIiIjRjVJI1BpR0YmRjVGNSoqRkFGNUZORjUsJkYzRjQqJkZGRjVGLkY1RjVGNUYtRjU= 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyoqJkkjQTFHRig2I0Y0Ri9GO0YvLCZGNCEiIiomSSRldGFHRihGLyZJIlJHRig2I0Y3Ri9GL0YvKUZELCZGNEZBRi9GQUYv 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YoNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGL0YuRi9GLy9GLjsiIiEsJComIiIjRi9JI1BpR0YmRi9GLyoqJkkjQTJHRig2I0Y0Ri9GO0YvLCZGNCEiIiomSSRldGFHRihGLyZJIlJHRig2I0Y3Ri9GL0YvKUZELCZGNEZBRi9GQUYv As a result of calculations we find: 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 LCQqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJQ== LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YpNiNJJHBzaUdGKSIiIi1JJHNpbkdGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwRjwhIiIpJkkiUkdGKTYjRjgsJkY1Rj1GMEY9Rj0sJkY1RjAqJkkkZXRhR0YpRjBGP0YwRj1GPUY9 LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YpNiNJJHBzaUdGKSIiIi1JJGNvc0dGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwRjwhIiIpJkkiUkdGKTYjRjgsJkY1Rj1GMEY9Rj0sJkY1RjAqJkkkZXRhR0YpRjBGP0YwRj1GPUY9 or 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 LCQqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJQ== LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YpNiNJJHBzaUdGKSIiIi1JJHNpbkdGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwRjwhIiIpJkkiUkdGKTYjRjgsJkY1Rj1GMEY9Rj0sJkY1RjAqJkkkZXRhR0YpRjBGP0YwRj1GPUY9 LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YpNiNJJHBzaUdGKSIiIi1JJGNvc0dGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwRjwhIiIpJkkiUkdGKTYjRjgsJkY1Rj1GMEY9Rj0sJkY1RjAqJkkkZXRhR0YpRjBGP0YwRj1GPUY9 And solution of the third boundary-value problem for Laplace's equation outside of circle is: 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 LCYqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJS1JJHN1bUdGKTYkKiYpSSJyR0YsSSJuR0YsRiUsJiosLUYoNiQqJi1GLzYjSSRwc2lHRixGJS1JJHNpbkdGKTYjKiZGQEYlRkhGJUYlL0ZIRjNGJUY3RjkpJkkiUkdGLDYjRjQsJkZARjlGJUY5RjksJkZARiUqJkY4RiVGT0YlRjlGOS1GSjYjKiZGQEYlRjFGJUYlRjkqLC1GKDYkKiZGRkYlLUkkY29zR0YpRktGJUZNRiVGN0Y5Rk5GOUZTRjktRmduRlZGJUY5RiUvRkA7RiVJKWluZmluaXR5R0YqRiU= or 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKi4pSSJyR0YoSSJuR0YoIiIiKSZJIlJHRig2IyIiISwmRjBGMUYxRjFGMS1JImhHRig2I0kkcHNpR0YoRjEtSSRjb3NHRiU2IyomRjBGMSwmSSkmdmFycGhpO0dGKEYxRjshIiJGMUYxSSNQaUdGJkZCLCZGMEZCKiZJJGV0YUdGKEYxRjNGMUYxRkIvRjs7RjYsJComIiIjRjFGQ0YxRjEvRjA7RjFJKWluZmluaXR5R0YmRjEtRis2JCwkKiojRjFGS0YxRkZGQkZDRkItRjk2I0ZBRjFGMS9GQUZIRjE=
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">4.7. General representation of the solution in expanded form</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= The solution inside of circle is: 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 Ly0mSSJ1RzYiNiNJJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkSSJyR0YmSSkmdmFycGhpO0dGJiwmJiZJI0IxR0YmRic2IyIiISIiIi1JJHN1bUdGKTYkKiYpRi1JIm5HRiZGNSwmKiYmJkkjQTFHRiZGJzYjRjtGNS1JJHNpbkdGKTYjKiZGO0Y1Ri5GNUY1RjUqJiYmSSNBMkdGJkYnRkFGNS1JJGNvc0dGKUZERjVGNUY1L0Y7O0Y1SSlpbmZpbml0eUdGKkY1 where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUklbXN1YkdGJDYlLUYjNiYtRiw2JS1JI21pR0YkNiVRI0IxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRjM2JVEkaW50RidGNkY5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y6USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkFGREZHLUYjNiYtSSNtbkdGJDYkUSIwRidGR0ZBRkRGR0ZJLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGRy8lJmZlbmNlR0ZGLyUqc2VwYXJhdG9yR0ZGLyUpc3RyZXRjaHlHRkYvJSpzeW1tZXRyaWNHRkYvJShsYXJnZW9wR0ZGLyUubW92YWJsZWxpbWl0c0dGRi8lJ2FjY2VudEdGRi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmBvLUkmbWZyYWNHRiQ2KC1GTzYkUSIxRidGRy1GTzYkUSIyRidGRy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYXAvJSliZXZlbGxlZEdGRi1GUzYtUTEmSW52aXNpYmxlVGltZXM7RidGR0ZWRlhGWkZmbkZobkZqbkZcby9GX29RJjAuMGVtRicvRmJvRmpwLUZkbzYoLUYjNigtRjM2JVEhRidGNkY5LUYjNiwtSShtc3Vic3VwR0YkNictRlM2LVEmJmludDtGJ0ZHRlZGWEZaRmZuRmhuRmpuRlxvRmlwRltxRk4tRiM2KEZpb0ZmcC1GMzYlUScmIzk2MDtGJy9GN0ZGRkdGQUZERkcvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMkYnRklGYHEtRiM2KC1GMzYlUSJoRidGNkY5LUZTNi1RMCZBcHBseUZ1bmN0aW9uO0YnRkdGVkZYRlpGZm5GaG5Gam5GXG9GaXBGW3EtSShtZmVuY2VkR0YkNiQtRiM2Ji1GMzYlUScmIzk2NjtGJ0ZgckZHRkFGREZHRkdGQUZERkdGYHEtSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuM2VtRicvJSZkZXB0aEdGaXMvJSpsaW5lYnJlYWtHUSVhdXRvRictRlM2LVEwJkRpZmZlcmVudGlhbEQ7RidGR0ZWRlhGWkZmbkZobkZqbkZcb0ZpcEZbcUZhc0ZBRkRGR0ZgcUZBRkRGRy1GIzYoLUYzNiVRJyYjOTUxO0YnRmByRkdGZnBGXXJGQUZERkdGXHBGX3BGYnBGZHAtRlM2LVEiO0YnRkdGVi9GWUY4RlpGZm5GaG5Gam5GXG9GaXBGYW8tRiM2KC1GLDYlLUYjNiYtRiw2JS1GMzYlUSNBMUYnRjZGOUY8RklGQUZERkctRiM2Ji1GMzYlUSJuRidGNkY5RkFGREZHRkktRlM2LVEpJkFzc2lnbjtGJ0ZHRlZGWEZaRmZuRmhuRmpuRlxvRl5vRmFvLUZkbzYoLUYjNihGYHEtRiM2LEZlcUZgcS1GIzYqRmBxLUYjNihGZnJGaXItRl1zNiQtRiM2Ji1GMzYlUScmIzk2ODtGJ0ZgckZHRkFGREZHRkdGQUZERkdGZnAtRiM2KC1GMzYlUSRzaW5GJ0ZgckZHRmlyLUZdczYkLUYjNihGYHEtRiM2KEZbdkZmcEZfd0ZBRkRGR0ZgcUZBRkRGR0ZHRkFGREZHRmBxRkFGREZHRmBxRmRzRmJ0Rl93RkFGREZHRmBxRkFGREZHLUYjNiotRmZxNictRjM2JVEiUkYnRjZGOUZMLUZdczYkLUYjNihGW3YtRlM2LVEoJm1pbnVzO0YnRkdGVkZYRlpGZm5GaG5Gam5GXG8vRl9vUSwwLjIyMjIyMjJlbUYnL0Zib0ZceUZmb0ZBRkRGR0ZHL0ZickZLRklGZnBGXXJGZnAtRl1zNiQtRiM2KUZbdi1GUzYtUSIrRidGR0ZWRlhGWkZmbkZobkZqbkZcb0ZbeUZdeS1GIzYoRmd0RmZwLUYsNiVGYXhGTEZJRkFGREZHRmBxRkFGREZHRkdGQUZERkdGXHBGX3BGYnBGZHBGQUZERkdGanQtRiM2KEZgcS1GIzYoLUYsNiUtRiM2Ji1GLDYlLUYzNiVRI0EyRidGNkY5RjxGSUZBRkRGR0ZpdUZJRl52LUZkbzYoLUYjNihGYHEtRiM2LEZlcUZgcS1GIzYqRmBxRml2RmZwLUYjNigtRjM2JVEkY29zRidGYHJGR0ZpckZnd0ZBRkRGR0ZgcUZBRkRGR0ZgcUZkc0ZidEZfd0ZBRkRGR0ZgcUZBRkRGR0ZdeEZccEZfcEZicEZkcEZBRkRGR0ZgcUZBRkRGR0ZgcUZBRkRGRw== LCQqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJQ== KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiaEdGKDYjSSRwc2lHRigiIiItSSRzaW5HRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGO0ZBLCZGNEYvKiZJJGV0YUdGKEYvRj1GL0YvRkE= KiotSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLUkiaEdGKDYjSSRwc2lHRigiIiItSSRjb3NHRiU2IyomSSJuR0YoRi9GLkYvRi8vRi47IiIhLCQqJiIiI0YvSSNQaUdGJkYvRi9GLykmSSJSR0YoNiNGNywmRjRGL0YvISIiRkFGO0ZBLCZGNEYvKiZJJGV0YUdGKEYvRj1GL0YvRkE= Now we redefine coefficients: 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 LyZJImNHNiI2IyIiISomLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQtSSJoR0YlNiNJJHBzaUdGJS9GMjtGJywkKiYiIiMiIiJJI1BpR0YsRjhGOEY4RjkhIiI= LyZJI2MxRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiaEdGJTYjSSRwc2lHRiUiIiItSSRzaW5HRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== LyZJI2MyRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiaEdGJTYjSSRwc2lHRiUiIiItSSRjb3NHRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== and get the formula: 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 LCYqKCMiIiIiIiNGJSZJImNHNiI2IyIiIUYlSSRldGFHRikhIiJGJS1JJHN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGKTYkKipJI1IwR0YpRiUpKiZJInJHRilGJUY1Ri1JIm5HRilGJSwmKiYmSSNjMUdGKTYjRjlGJS1JJHNpbkdGMDYjKiZGOUYlSSkmdmFycGhpO0dGKUYlRiVGJSomJkkpfFx4JiMxMjk7MkdGKUY+RiUtSSRjb3NHRjBGQUYlRiVGJSwmRjlGJSomRixGJUY1RiVGJUYtL0Y5O0YlSSlpbmZpbml0eUdGMUYl The solution outside of circle is: 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 Ly0mSSJ1RzYiNiNJJGV4dEdGJjYkSSJyR0YmSSkmdmFycGhpO0dGJiwmJiZJI0IxR0YmRic2IyIiISIiIi1JJHN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkKiYpRipJIm5HRiZGMiwmKiYmJkkjQTFHRiZGJzYjRjtGMi1JJHNpbkdGNTYjKiZGO0YyRitGMkYyRjIqJiYmSSNBMkdGJkYnRkFGMi1JJGNvc0dGNUZERjJGMkYyL0Y7O0YySSlpbmZpbml0eUdGNkYy where 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 LCQqKiMiIiIiIiNGJS1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiaEdGLDYjSSkmdmFycGhpO0dGLC9GMTsiIiEsJComRiZGJUkjUGlHRipGJUYlRiVJJGV0YUdGLCEiIkY3RjlGJQ== LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YpNiNJJHBzaUdGKSIiIi1JJHNpbkdGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwRjwhIiIpJkkiUkdGKTYjRjgsJkY1Rj1GMEY9Rj0sJkY1RjAqJkkkZXRhR0YpRjBGP0YwRj1GPUY9 LCQqKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtSSJoR0YpNiNJJHBzaUdGKSIiIi1JJGNvc0dGJjYjKiZJIm5HRilGMEYvRjBGMC9GLzsiIiEsJComIiIjRjBJI1BpR0YnRjBGMEYwRjwhIiIpJkkiUkdGKTYjRjgsJkY1Rj1GMEY9Rj0sJkY1RjAqJkkkZXRhR0YpRjBGP0YwRj1GPUY9 Now we redefine coefficients: 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 LyZJImNHNiI2IyIiISomLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQtSSJoR0YlNiNJJHBzaUdGJS9GMjtGJywkKiYiIiMiIiJJI1BpR0YsRjhGOEY4RjkhIiI= LyZJI2MxRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiaEdGJTYjSSRwc2lHRiUiIiItSSRzaW5HRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== LyZJI2MyRzYiNiNJIm5HRiUqJkkjUGlHJSpwcm90ZWN0ZWRHISIiLUkkaW50RzYkRipJKF9zeXNsaWJHRiU2JComLUkiaEdGJTYjSSRwc2lHRiUiIiItSSRjb3NHRi42IyomRidGNkY1RjZGNi9GNTsiIiEsJComIiIjRjZGKUY2RjZGNg== and get the formula: 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 LCYqKCMiIiIiIiNGJSZJImNHNiI2IyIiIUYlSSRldGFHRikhIiJGJS1JJHN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGKTYkKipJI1IwR0YpRiUpKiZGNUYlSSJyR0YpRi1JIm5HRilGJSwmKiYmSSNjMUdGKTYjRjlGJS1JJHNpbkdGMDYjKiZGOUYlSSkmdmFycGhpO0dGKUYlRiVGJSomJkkpfFx4JiMxMjk7MkdGKUY+RiUtSSRjb3NHRjBGQUYlRiVGJSwmRjlGJSomRixGJUY1RiVGLUYtL0Y5O0YlSSlpbmZpbml0eUdGMUYt Thus we have the solution in expanded form for circle: 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwmKigjIiIiIiIjRjAmSSJjR0YoRitGMEkkZXRhR0YoISIiRjAtSSRzdW1HNiRGJEkoX3N5c2xpYkdGKDYkKipJI1IwR0YoRjApKiZGJ0YwRjxGNUkibkdGKEYwLCYqJiZJI2MxR0YoNiNGP0YwLUkkc2luR0Y4NiMqJkY/RjBJKSZ2YXJwaGk7R0YoRjBGMEYwKiYmSSl8XHgmIzEyOTsyR0YoRkRGMC1JJGNvc0dGOEZHRjBGMEYwLCZGP0YwKiZGNEYwRjxGMEYwRjUvRj87RjBJKWluZmluaXR5R0YkRjAyRilGJywmRi5GMC1GNzYkKipGPEYwKSomRjxGMEYnRjVGP0YwRkBGMCwmRj9GMEZQRjVGNUZRRjU= or 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 LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKi4pSSJyR0YoSSJuR0YoIiIiKSZJIlJHRig2IyIiISwmRjAhIiJGMUYxRjEtSSJoR0YoNiNJJHBzaUdGKEYxLUkkY29zR0YlNiMqJkYwRjEsJkkpJnZhcnBoaTtHRihGMUY8RjhGMUYxSSNQaUdGJkY4LCZGMEYxKiZJJGV0YUdGKEYxRjNGMUYxRjgvRjw7RjYsJComIiIjRjFGQ0YxRjEvRjA7RjFJKWluZmluaXR5R0YmRjEtRis2JCwkKiojRjFGS0YxLUY6NiNGQkYxRkZGOEZDRjhGMS9GQkZIRjE= LCYtSSRzdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGludEdGJTYkKi4pSSJyR0YoSSJuR0YoIiIiKSZJIlJHRig2IyIiISwmRjBGMUYxRjFGMS1JImhHRig2I0kkcHNpR0YoRjEtSSRjb3NHRiU2IyomRjBGMSwmSSkmdmFycGhpO0dGKEYxRjshIiJGMUYxSSNQaUdGJkZCLCZGMEZCKiZJJGV0YUdGKEYxRjNGMUYxRkIvRjs7RjYsJComIiIjRjFGQ0YxRjEvRjA7RjFJKWluZmluaXR5R0YmRjEtRis2JCwkKiojRjFGS0YxLUY5NiNGQUYxRkZGQkZDRkJGMS9GQUZIRjE= 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 LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkickc2IiZJIlJHRig2IyIiISwmLUkkc3VtRzYkRiRJKF9zeXNsaWJHRig2JC1JJGludEdGMDYkKi4pRidJIm5HRigiIiIpRiksJkY4ISIiRjlGOUY5LUkiaEdGKDYjSSRwc2lHRihGOS1JJGNvc0dGMDYjKiZGOEY5LCZJKSZ2YXJwaGk7R0YoRjlGQEY8RjlGOUkjUGlHRiRGPCwmRjhGOSomSSRldGFHRihGOUYpRjlGOUY8L0ZAO0YsLCQqJiIiI0Y5RkdGOUY5L0Y4O0Y5SSlpbmZpbml0eUdGJEY5LUY0NiQsJCoqI0Y5Rk9GOS1GPjYjRkZGOUZKRjxGR0Y8RjkvRkZGTEY5MkYpRicsJi1GLzYkLUY0NiQqLkY3RjkpRiksJkY4RjlGOUY5RjlGPUY5RkFGOUZHRjwsJkY4RjxGSUY5RjxGS0ZQRjlGU0Y5
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">5. The first boundary-value problem for Laplace's equation in ring</Font></Text-field>
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">5.1. The second boundary-value problem statement in ring</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNihGKy1GIzYmLUYsNiVRKHJlc3RhcnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRitGPEY/RkJGK0Y8Rj9GQg== Consider the first boundary-value problem for Laplace's equation inside of circle (internal Dirichlet problem for circle). This problem implies that function u satisfies the Laplace's equation: \316\224u = 0 and boundary conditions on the circle boundaries S1 and S2: u(S1) = f1, u(S2) = f2 where f1 and f2 are given functions and S1 and S2 are circumferences of radiuses R1 and R2 correspondingly. General solution of two-dimensional Laplace's equation in polar coordinates is (see point 1.2): 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 and boundary conditions are: 1) value of function u on the internal boundary S1 is: u(R1,\317\206) = f1(\317\206); 2) value of function u on the external boundary S2 is: u(R1,\317\206) = f1(\317\206). Now we redefine coefficients: 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 and find 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 LCgmSSNCMUc2IjYjIiIhIiIiKiYmSSNCMkdGJUYmRigtSSNsbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjSSJyR0YlRihGKC1JJHN1bUdGLjYkLCYqJiwmKiYmSSNDMUdGJTYjSSJuR0YlRigpRjJGPUYoRigqJiZJI0MyR0YlRjxGKClGMiwkRj0hIiJGKEYoRigtSSRzaW5HRi42IyomRj1GKEkpJnZhcnBoaTtHRiVGKEYoRigqJiwmKiYmSSNDM0dGJUY8RihGPkYoRigqJiZJI0M0R0YlRjxGKEZCRihGKEYoLUkkY29zR0YuRkdGKEYoL0Y9O0YoSSlpbmZpbml0eUdGL0Yo
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">5.2. Accounting of boundary conditions</Font></Text-field> Boundary conditions are represented as 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 LCgmSSNCMUc2IjYjIiIhIiIiKiYmSSNCMkdGJUYmRigtSSNsbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjSSJyR0YlRihGKC1JJHN1bUdGLjYkLCYqJiwmKiYmSSNDMUdGJTYjSSJuR0YlRigpRjJGPUYoRigqJiZJI0MyR0YlRjxGKClGMiwkRj0hIiJGKEYoRigtSSRzaW5HRi42IyomRj1GKEkkcHNpR0YlRihGKEYoKiYsJiomJkkjQzNHRiVGPEYoRj5GKEYoKiYmSSNDNEdGJUY8RihGQkYoRihGKC1JJGNvc0dGLkZHRihGKC9GPTtGKEkpaW5maW5pdHlHRi9GKA== 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 LCgmSSNCMUc2IjYjIiIhIiIiKiYmSSNCMkdGJUYmRigtSSNsbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjJkkiUkdGJTYjIiIjRihGKC1JJHN1bUdGLjYkLCYqJiwmKiYmSSNDMUdGJTYjSSJuR0YlRigpRjJGQEYoRigqJiZJI0MyR0YlRj9GKClGMiwkRkAhIiJGKEYoRigtSSRzaW5HRi42IyomRkBGKEkkcHNpR0YlRihGKEYoKiYsJiomJkkjQzNHRiVGP0YoRkFGKEYoKiYmSSNDNEdGJUY/RihGRUYoRihGKC1JJGNvc0dGLkZKRihGKC9GQDtGKEkpaW5maW5pdHlHRi9GKA== 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 Ly0mSSJmRzYiNiMiIiM2I0kpJnZhcnBoaTtHRiYsKCZJI0IxR0YmNiMiIiEiIiIqJiZJI0IyR0YmRi5GMC1JI2xuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMmSSJSR0YmRidGMEYwLUkkc3VtR0Y2NiQsJiomLCYqJiZJI0MxR0YmNiNJIm5HRiZGMClGOkZGRjBGMComJkkjQzJHRiZGRUYwKUY6LCRGRiEiIkYwRjBGMC1JJHNpbkdGNjYjKiZGRkYwSSRwc2lHRiZGMEYwRjAqJiwmKiYmSSNDM0dGJkZFRjBGR0YwRjAqJiZJI0M0R0YmRkVGMEZLRjBGMEYwLUkkY29zR0Y2RlBGMEYwL0ZGO0YwSSlpbmZpbml0eUdGN0Yw so we have 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtJkkiZkdGKDYjIiIiNiNJJHBzaUdGKEYvLUkkY29zR0YlNiMqJkkia0dGKEYvRjFGL0YvL0YxOyIiISwkKiYiIiNGL0kjUGlHRiZGL0YvLUYkNiQqJiwoJkkjQjFHRig2I0Y5Ri8qJiZJI0IyR0YoRkRGLy1JI2xuR0YlNiMmSSJSR0YoRi5GL0YvLUkkc3VtR0YlNiQsJiomLCYqJiZJI0MxR0YoNiNJIm5HRihGLylGS0ZXRi9GLyomJkkjQzJHRihGVkYvKUZLLCRGVyEiIkYvRi9GLy1JJHNpbkdGJTYjKiZGV0YvRjFGL0YvRi8qJiwmKiYmSSNDM0dGKEZWRi9GWEYvRi8qJiZJI0M0R0YoRlZGL0ZmbkYvRi9GLy1GM0Zbb0YvRi8vRlc7Ri9JKWluZmluaXR5R0YmRi9GL0YyRi9GNw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY5LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRi1JI21uR0YkNiRRIjBGJ0YyLUYjNigtRko2JFEiMkYnRjItRi82LVExJkludmlzaWJsZVRpbWVzO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGN0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjdGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIyRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GVjYlUSFGJy9GWlEldHJ1ZUYnL0YzUSdpdGFsaWNGJy1GIzYoLUklbXN1YkdGJDYlLUZWNiVRImZGJ0Zjb0Zlby1GIzYmRk9GZW5GaG5GMkZdby1GLzYtUTAmQXBwbHlGdW5jdGlvbjtGJ0YyRjVGOEY6RjxGPkZARkJGREZHLUkobWZlbmNlZEdGJDYkLUYjNiYtRlY2JVEmJnBzaTtGJ0ZZRjJGZW5GaG5GMkYyRmVuRmhuRjJGUi1GIzYoLUZWNiVRJHNpbkYnRllGMkZhcC1GZXA2JC1GIzYoRmBvLUYjNigtRlY2JVEia0YnRmNvRmVvRlJGaXBGZW5GaG5GMkZgb0ZlbkZobkYyRjJGZW5GaG5GMkZgby1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4zZW1GJy8lJmRlcHRoR0Zfci8lKmxpbmVicmVha0dRJWF1dG9GJy1GLzYtUTAmRGlmZmVyZW50aWFsRDtGJ0YyRjVGOEY6RjxGPkZARkJGREZHRmlwLUYvNi1RIj1GJ0YyRjVGOEY6RjxGPkZARkIvRkVRLDAuMjc3Nzc3OGVtRicvRkhGX3NGK0Zgby1GIzYoRmBvLUYjNictRmpvNiUtRlY2JVEiVUYnRmNvRmVvRl9wRl1vRmRwRmVuRmhuRjJGYG9GZW5GaG5GMi1GLzYtUScmc2RvdDtGJ0YyRjVGOEY6RjxGPkZARkJGREZHRl5xRmFxRmBvRmpxRmhyLUZWNiVRJyYjOTY4O0YnRllGMkZlbkZobkYy Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtJkkiZkdGKDYjIiIjNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJImtHRihGMkYxRjJGMi9GMTsiIiEsJComRi9GMkkjUGlHRiZGMkYyLUYkNiQqJiwoJkkjQjFHRig2I0Y6RjIqJiZJI0IyR0YoRkRGMi1JI2xuR0YlNiMmSSJSR0YoRi5GMkYyLUkkc3VtR0YlNiQsJiomLCYqJiZJI0MxR0YoNiNJIm5HRihGMilGS0ZXRjJGMiomJkkjQzJHRihGVkYyKUZLLCRGVyEiIkYyRjJGMi1GNDYjKiZGV0YyRjFGMkYyRjIqJiwmKiYmSSNDM0dGKEZWRjJGWEYyRjIqJiZJI0M0R0YoRlZGMkZmbkYyRjJGMi1JJGNvc0dGJUZqbkYyRjIvRlc7RjJJKWluZmluaXR5R0YmRjJGMkYzRjJGOA== 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtJkkiZkdGKDYjIiIiNiNJJHBzaUdGKEYvLUkkY29zR0YlNiMqJkkia0dGKEYvRjFGL0YvL0YxOyIiISwkKiYiIiNGL0kjUGlHRiZGL0YvLUYkNiQqJiwoJkkjQjFHRig2I0Y5Ri8qJiZJI0IyR0YoRkRGLy1JI2xuR0YlNiMmSSJSR0YoRi5GL0YvLUkkc3VtR0YlNiQsJiomLCYqJiZJI0MxR0YoNiNJIm5HRihGLylGS0ZXRi9GLyomJkkjQzJHRihGVkYvKUZLLCRGVyEiIkYvRi9GLy1JJHNpbkdGJTYjKiZGV0YvRjFGL0YvRi8qJiwmKiYmSSNDM0dGKEZWRi9GWEYvRi8qJiZJI0M0R0YoRlZGL0ZmbkYvRi9GLy1GM0Zbb0YvRi8vRlc7Ri9JKWluZmluaXR5R0YmRi9GL0YyRi9GNw==
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">5.3. Calculation of coefficients</Font></Text-field> Using of formulas (6.1) - (6.6) (see Appendix 1) - orthonormality conditions - gives: \303\240) k = 0: 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Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLSZJImZHRig2IyIiIjYjSSRwc2lHRigvRjA7IiIhLCQqJiIiI0YuSSNQaUdGJkYuRi4sJCooRjZGLkY3Ri4sJiZJI0IxR0YoNiNGM0YuKiYmSSNCMkdGKEY9Ri4tSSNsbkdGJTYjJkkiUkdGKEYtRi5GLkYuRi4= 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLSZJImZHRig2IyIiIzYjSSRwc2lHRigvRjA7IiIhLCQqJkYuIiIiSSNQaUdGJkY2RjYsJCooRi5GNkY3RjYsJiZJI0IxR0YoNiNGM0Y2KiYmSSNCMkdGKEY9RjYtSSNsbkdGJTYjJkkiUkdGKEYtRjZGNkY2RjY= \303\241) k \342\211\240 0: 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtJkkiZkdGKDYjIiIiNiNJJHBzaUdGKEYvLUkkY29zR0YlNiMqJkkia0dGKEYvRjFGL0YvL0YxOyIiISwkKiYiIiNGL0kjUGlHRiZGL0YvLUYkNiQqJi1JJHN1bUdGJTYkKiYsJiomJkkjQzFHRig2I0kibkdGKEYvKSZJIlJHRihGLkZKRi9GLyomJkkjQzJHRihGSUYvKUZMLCRGSiEiIkYvRi9GLy1JJHNpbkdGJTYjKiZGSkYvRjFGL0YvL0ZKO0YvSSlpbmZpbml0eUdGJkYvRjJGL0Y3 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtJkkiZkdGKDYjIiIjNiNJJHBzaUdGKCIiIi1JJHNpbkdGJTYjKiZJIm5HRihGMkYxRjJGMi9GMTsiIiEsJComRi9GMkkjUGlHRiZGMkYyKiZGPUYyLCYqJiZJI0MxR0YoNiNGN0YyKSZJIlJHRihGLkY3RjJGMiomJkkjQzJHRihGQ0YyKUZFLCRGNyEiIkYyRjJGMg== 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 Ly1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYtJkkiZkdGKDYjIiIjNiNJJHBzaUdGKCIiIi1JJGNvc0dGJTYjKiZJIm5HRihGMkYxRjJGMi9GMTsiIiEsJComRi9GMkkjUGlHRiZGMkYyKiZGPUYyLCYqJiZJI0MzR0YoNiNGN0YyKSZJIlJHRihGLkY3RjJGMiomJkkjQzRHRihGQ0YyKUZFLCRGNyEiIkYyRjJGMg== As a result of calculations we find: 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 KigsJiooKSZJIlJHNiI2IyIiIiwkKiYiIiNGKkkibkdGKEYqRipGKikmRic2I0YtRi5GKi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGKDYkKiYtJkkiZkdGKEYxNiNJJHBzaUdGKEYqLUkkY29zR0Y0NiMqJkYuRipGPUYqRiovRj07IiIhLCQqJkYtRipJI1BpR0Y1RipGKkYqISIiKigpRiZGLkYqKUYwRitGKi1GMzYkKiYtJkY7RilGPEYqRj5GKkZCRipGKkYqRkdGSCwmRktGKkYlRkhGSA== And solution of the first boundary-value problem is: 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
<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">5.4. Integral representation of the solution</Font></Text-field> This solution can be represented in integral form. We will use relations: 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 LCYqJiwmKigpSSJyRzYiLCRJIm5HRighIiIiIiIpJkkiUkdGKDYjIiIjLCQqJkYxRixGKkYsRixGLCkmRi82I0YsRipGLEYsKiYpRidGKkYsRjRGLEYrRiwtJkkiZkdGKEY2NiNJJHBzaUdGKEYsRiwqJiwmKihGJkYsKUY1RjJGLClGLkYqRixGKyomRjhGLEZCRixGLEYsLSZGO0YwRjxGLEYs 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 LCYqJiwmLUkjbG5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IyZJIlJHRio2IyIiIyIiIi1GJjYjSSJyR0YqISIiRjAtJkkiZkdGKjYjRjA2I0kkcHNpR0YqRjBGMComLCYtRiY2IyZGLUY4RjRGMUYwRjAtJkY3Ri5GOUYwRjA= and get formulas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic= 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 Using denotation: 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 LCYtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCoqLUkkY29zR0YlNiMqJkkibkdGKCIiIiwmSSRwc2lHRighIiJJKSZ2YXJwaGk7R0YoRjBGMEYwLCYqKClJInJHRigsJEYvRjNGMCkmSSJSR0YoNiMiIiMsJComRj5GMEYvRjBGMEYwKSZGPDYjRjBGL0YwRjAqJilGOEYvRjBGQUYwRjNGMEkjUGlHRiZGMywmKUZCRj9GMEY6RjNGMy9GLztGMEkpaW5maW5pdHlHRiZGMyoqI0YwRj5GMC1JI2xuR0YlNiMqJkY7RjBGOEYzRjBGRkYzLUZPNiMqJkY7RjBGQkYzRjNGMA== 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 LCYtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCoqLUkkY29zR0YlNiMqJkkibkdGKCIiIiwmSSRwc2lHRighIiJJKSZ2YXJwaGk7R0YoRjBGMEYwLCYqKClJInJHRigsJEYvRjNGMCkmSSJSR0YoNiNGMCwkKiYiIiNGMEYvRjBGMEYwKSZGPDYjRkBGL0YwRjMqJilGOEYvRjBGQUYwRjBGMEkjUGlHRiZGMywmRjpGMClGQkY+RjNGMy9GLztGMEkpaW5maW5pdHlHRiZGMyoqI0YwRkBGMC1JI2xuR0YlNiMqJkY4RjBGO0YzRjBGRkYzLUZPNiMqJkZCRjBGO0YzRjNGMA== we get solution in integral form: 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
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">Conclusions</Font></Text-field> This work demonstrates universal possibilities of MAPLE in solving the partial elliptic differential equations.
<Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">Appendix 1</Font></Text-field> Orthonormality conditions for sin(k LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEpJnZhcnBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn) and cos(k LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEpJnZhcnBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn). 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<Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">References</Font></Text-field> 1. A.N. Tikhonov, A.A. Samarski. Equations of mathematical physics. Moskow. MSU, 1999. 2. B.N. Budak, A.N. Tikhonov, A.A. Samarski. Problems on mathematical physics. Moskow. Fizmatlit, 2004.
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