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Re: NDSolve of partial differentiel equation


Christian Damgaard wrote:
> 
> 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


Christian,

I raised this question to Wolfram a while back and was told NDSolve 
would handle two variable PDE's at most.


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