Inhomogeneous diffusion equation on the half plane

[LeehLee]

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!

[hypervalent_iodine]

Hi LeehLee,

 

Since this is probably homework, I have moved your question to the homework help section of the forum. Please be aware that we will not simply give you the answers and it would probably be advisable for you to tell us exactly where you are struggling with the question.

[studiot]

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 December 9, 2013 by studiot