*To*: mathgroup@smc.vnet.net*Subject*: [mg12155] Re: PDEs in Mathematica 3.0*From*: smeans@unm.edu (shawn a. means)*Date*: Mon, 27 Apr 1998 01:46:39 -0400*Organization*: University of New Mexico, Albuquerque*References*: <6hpf5v$den@smc.vnet.net>

In article <6hpf5v$den@smc.vnet.net>, "Tomas Muzik" <muzik@FENIX.ZCU.CZ> wrote: > Hallo! > > Please excuse my poor english, it isn't my preferred language. I have a > problem with solving a system of PDEs, that are depending on two > variables, x (position) and t (time). So it looks like this: D[vec. > unkn.,x]=[matrix A].D[vec. unkn.,t]+[matrix B].[vec. unkn.] and of > course initial conditions. > Is there any way, how to solve this system by using Mathematica, or > have I to load some package (which?). If this question should be better > asked at the mailing list, I would like to ask you for subscription or > for a link to a better place, where my problem could be solved too. > Thank you > Check out the Mathematica Book entries on NDSolve. There is a format for entry of systems of PDE's. You may be able to use NDSolve[eqns, y, {x, xmin, xmax}, {t tmin, tmax}] with the term 'eqns' a matrix equation and 'y' a vector. Let me know if this helps...I'm attempting to use Mathematica on a 2D diffusion equation, but I don't think NDSolve can handle more than one spatial variable. Enjoy! shawn smeans@unm.edu