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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Diffusion Equation (Coordinate dependent diffusion coeff)

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**