Periodic solutions for a first order PDE with periodic forcing function - Maple Application Center
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Periodic solutions for a first order PDE with periodic forcing function

Author
: Jim Herod
Engineering software solutions from Maplesoft
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This Maple worksheet provides a method for finding solutions for non-homogeneous partial differential equation of the form
diff(u,t) = diff(u,`$`(x,2)) + F(t,x) , u(t, 0) = 0 = u(t, 1).
More important, if the function F(t,x) is periodic as a function of t, it provides a method for finding a periodic solution for the partial differential equation. Even more. Techniques are used to emphasize a general structure suitable for finding a periodic solution for ordinary differential equations having the same general form of Y' = AY + F where F is periodic.

Application Details

Publish Date: October 30, 2001
Created In: Maple 7
Language: English

Tags

pde algorithm

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