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Inhomogeneous diffusion equation on the half plane

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Hello,

I need Help solving the diffusion PDE using Green function.
I attached the file with the question.

Any help would be greatly appreciated. Thank you!

post-102644-0-31785700-1386532070_thumb.jpg

In fairness Leehlee has attempted to solve his (her?) problem.

 

I suggest you look at Chapter 6 ( The Diffusion Equation) of Sneddon : Elements of Partial Differential Equations.

 

Your equation is a one dimensional version of the heat equation, which is treated by several methods including Green's Functions.

Edited by studiot

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