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Problem using NDSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg74808] Problem using NDSolve
  • From: Benoit Scheid <bscheid at seas.harvard.edu>
  • Date: Fri, 6 Apr 2007 04:18:40 -0400 (EDT)
  • Organization: Harvard University

Hi,

I'm trying to solve a partial differential equation using NDSolve:

NDSolve[{Derivative[0, 2][T][x, y] - Pe*Derivative[1, 0][T][x, y] + 
Derivative[2, 0][T][x, y] == 0, T[0, y] == 1, T[1, y] == 0, 
Derivative[0, 1][T][x, 1] == 0, Derivative[0, 1][T][x, 0] == Bi*T[x, 
0]}, T[x, y], {x, 0, 1}, {y, 0, 1}]

But I got the following message:

NDSolve::ivone: Boundary values may only be specified for one 
independent variable. Initial values may only be specified at one value 
of the other independent variable.

Even by following the instructions related to "NDSolve::ivone" (which 
means removing one condition, ie T[1, y] == 0) it does not work.

Any Idea?

Thanks,
Benoit



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