Solving a tough a PDE shifting data

renegade05

Full Member
Joined
Sep 10, 2010
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260
How would I solve this one:

\(\displaystyle u_t-\nabla^2u = f(r,\theta, t) \quad r<a, t>0\)

\(\displaystyle u(r,\theta, 0)=\phi(r,\theta) \quad r<a\)

\(\displaystyle u=h(\theta) \quad r=a\)

So I guess I need to make the BC's homogeneous and do an eigenfunction expansion.

I'm not one to post on here with no work but jeez - can't even get started on this one!

What 'guess' should I make in order to solve this? Thanks!
 
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