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Is there an analytic solution or series approach to the 2D time-dependent heat equation in a square with a harmonic source and Neumann boundary conditions $\nabla u.n=0$?

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  • $\begingroup$ You can use separation of variables to get a series solution. $\endgroup$
    – Shuhao Cao
    May 20 '15 at 15:56
  • $\begingroup$ could you post a pointer to a reference doing so!? $\endgroup$
    – nico
    May 20 '15 at 16:02
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This is a good reference on approaching this problem analytically:

http://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006/lecture-notes/pde3d.pdf

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