The Heat Equation: Separation of variables and Fourier series - Maple Application Center
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The Heat Equation: Separation of variables and Fourier series

Author
: Anton Dzhamay
Engineering software solutions from Maplesoft
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In this worksheet we consider the one-dimensional heat equation diff(u(x,t),t) = k*diff(u(x,t),x,x) describint the evolution of temperature u(x,t) inside the homogeneous metal rod. We consider examples with homogeneous Dirichlet ( u(0,t) = 0 , u(L,t) = 0 ) and Newmann ( diff(u,x)(0,t) = 0, diff(u,x)(L,t) = 0 ) boundary conditions and various initial profiles f(x)

Application Details

Publish Date: July 09, 2004
Created In: Maple 9
Language: English

Tags

pde

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