Trinh @ Bath

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vpde_lecture23 [2020/03/26 13:31]
trinh 		vpde_lecture23 [2020/03/26 13:32]
trinh
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 The hardest part is to understand how to calculate the $b_n$ coefficients via an odd extension of the initial condition. In many ways, this is somewhat backwards (usually we ask "How do I compute a Fourier series for an odd extension" rather than to associate a Fourier series already given to an odd extension).  The hardest part is to understand how to calculate the $b_n$ coefficients via an odd extension of the initial condition. In many ways, this is somewhat backwards (usually we ask "How do I compute a Fourier series for an odd extension" rather than to associate a Fourier series already given to an odd extension). 
 +
 +Anyways, this we do in the video, and there we show that 
 +$$
 +b_n = -\frac{2}{n\pi}[(-1)^n - 1]
 +$$
 +
 +We'll then share a numerical simulation of this heat flow problem in the lecture. The code is below.
  
 <Code:Matlab linenums:1 |Solution of 1D heat equation with zero Dirichlet> <Code:Matlab linenums:1 |Solution of 1D heat equation with zero Dirichlet>
Last modified: 2020/03/26 17:05