Hello... My main problem is to find the Green's function of this pde:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\frac{∂T(x,t)}{∂t}[/itex]=[itex]\frac{∂}{∂x}[/itex](D(x)[itex]\frac{∂T(x,t)}{∂x}[/itex]) .

This is the well-known diffusion equation, but here, the diffusion coefficient is coordinate-dependent.

My main focus is to find the Green's function, but i know that in order to find it, i have to solve this equation... I have tried 2 methods, the separation of variables and The fourier transforms.. Both didnt help...

Any idea? Thanks alot in advance...

PS: Ofc T(x,t) is tempereture

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# Diffusion Equation (Coordinate dependent diffusion coeff)

Can you offer guidance or do you also need help?

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