NDSolve of partial differentiel equation

• To: mathgroup at smc.vnet.net
• Subject: [mg18442] NDSolve of partial differentiel equation
• From: "Christian Damgaard" <cfd at dmu.dk>
• Date: Wed, 7 Jul 1999 00:11:29 -0400
• Organization: UNI2 Internet Kunde
• Sender: owner-wri-mathgroup at wolfram.com

```Dear All,

I am trying to solve a set of partial differential equation with three
variables nummerically. However, as far as I see Mathematica only allows two
variables in NDSolve. Is that correct ?

The equations look like: px[x,y,t]==expr, py[x,y,t]==expr

with boundary conditions: px[a,y,t]==0, px[b,y,t]==0,py[x,c,t]==0,
py[x,d,t]==0

and initial conditions: px[x,y,0]==expr,py[x,y,0]==expr

If have tried something like:

NDSolve[ {px[x,y,t]==expr, py[x,y,t]==expr, px[a,y,t]==0,
px[b,y,t]==0,py[x,c,t]==0, py[x,d,t]==0,
px[x,y,0]==expr,py[x,y,0]==expr},{px[x,y,t],py[x,y,t]},{x,x0,x1},{y,y0,y1},{
t,t0,t1}]

but it replyes that there are to many variables.
replacing {x,x0,x1},{y,y0,y1},{t,t0,t1} with {{x,x0,x1},{y,y0,y1},{t,t0,t1}}
does not work either.

Christian Damgaard
cfd at dmu.dk

```

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