# Diffusion Equation (Coordinate dependent diffusion coeff)

1. Oct 10, 2013

### andreasgeo

Hello... My main problem is to find the Green's function of this pde:
$\frac{∂T(x,t)}{∂t}$=$\frac{∂}{∂x}$(D(x)$\frac{∂T(x,t)}{∂x}$) .

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