- #1
andreasgeo
- 4
- 0
Hello... My main problem is to find the Green's function of this pde:
[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 a lot in advance...
PS: Ofc T(x,t) is tempereture
[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 a lot in advance...
PS: Ofc T(x,t) is tempereture