Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Poisson 2D non linear by FDM

  1. Oct 10, 2014 #1
    Hi friends,

    i have developed an code for a non linear heat conduction in 2 dimensions with dirichlet boundary condition by finite difference method in Matlab. my code is running slow to give output.
    If anybody has any idea of solving this equation or have written any Code for this equation, please share it with me.
    Any body who has worked on this can share the idea with me.

    (d2t/dx2 + d2t/dy2)(K(t)) = Q
    K(t)= (a - b*t) ; a>>b.
     
  2. jcsd
  3. Oct 10, 2014 #2
    If K represents the thermal conductivity, then this formulation is incorrect. It should read:
    [tex]\frac{\partial}{\partial x}\left(K(T)\frac{\partial T}{\partial x}\right)+\frac{\partial}{\partial y}\left(K(T)\frac{\partial T}{\partial y}\right)=Q[/tex]
    Chet
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Poisson 2D non linear by FDM
  1. Poisson, non-homogeneous (Replies: 11)

Loading...