Q:

Heat equation with harmonic source and Neumann boundary

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 $\nabla u.n=0$?

A:

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

