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Diffusion Equation (Coordinate dependent diffusion coeff)

  1. Oct 10, 2013 #1
    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 alot in advance...

    PS: Ofc T(x,t) is tempereture
  2. jcsd
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