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Solving Dirichlet BVP by Eigenfunction Expansion

 
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May23-10, 11:08 PM   #1
 

Solving Dirichlet BVP by Eigenfunction Expansion


Hey all, I have a question about the following problem:

say that the domain omega is [0,pi] x [0,pi]
Solve the equation –Δu=1 for x in omega, and u=0 for x in the boundary of omega;

Just curious whether supposed to use eigenfunction expansions? And how to solve?

Thanks!
 
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