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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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