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Re: discretization and plotting pde system


If you're intent on doing this kind of thing from scratch, I'd suggest 
that you begin with a basic numerical analysis book that treats finite 
differences and the Crank-Nicolson method. It would also be a good idea 
to start with a simpler problem, something like

    dy/dt == d^2y/dx^2 + y(1-y) ,   0 < x < 1,
    y(t,0)= 0, y(t,1) = 1,
    y(0,x) = x^2.

On the other hand, you may want to look at the ReactionDiffusionLab 
package found here:

   http://www.math.armstrong.edu/faculty/hollis/mmade/RDL/

With it, you can solve problems such as the one you have, but in two 
space dimensions instead of one.


-----
Selwyn Hollis
http://www.math.armstrong.edu/faculty/hollis



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