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Matlab program using implicit Finite Difference

  1. Feb 29, 2012 #1
    Hello,

    I need help writing a matlab program to solve a heat transfer problem implicitly. For some reason this is very confusing to me. The problem is stated below. Any help is greatly appriciated. Let me know if you need a little more info.

    I need to write a program to solve this problem. I want to solve for a temperature T(i,n) using the temperature at the 3 nodes ahead of it. Essentially it's going to be a tridiagonal matrix in which you can solve using Thomas Algorithm. I just need help writing a program to get this tridiagonal matrix.
    2h2leud.jpg

    Edit: Also, all variable are dimensionless, therefore time goes from 0 to 1 and x also goes from 0 to 1. time is broken up into Δn parts and x is broken up into Δi parts. λ = Δt/Δx2
     
  2. jcsd
  3. Feb 29, 2012 #2
    I guess this might help some:

    This what the PDE that was discretized

    xdv71l.png
     
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