Re: discretization and plotting pde system
- To: mathgroup at smc.vnet.net
- Subject: [mg40042] Re: discretization and plotting pde system
- From: Selwyn Hollis <selwynh at earthlink.net>
- Date: Mon, 17 Mar 2003 03:33:28 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
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