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MathGroup Archive 2000

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solving Laplace's equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25014] solving Laplace's equation
  • From: Volker Wagner <Volker.Wagner at epfl.ch>
  • Date: Fri, 1 Sep 2000 01:09:46 -0400 (EDT)
  • Organization: EPFL
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

I have problems solving Laplace's equation in 2-D with a mixture of
Dirichlet and Neumann boundary conditions (I am looking for the steady
state of the 2-D diffusion equation). The problem is about the
following:

D[ n[x, y], {x, 2}]  + D[ n[x, y], {y, 2}] == 0

with (for example) the boundary conditions

D[n[x, y], x]==0  for  x= -1 and x=1
n[x, y]==1  for  y =1
n[x, y]==0  for  (y = 0 and Abs[ x] < 0.5)
D[n[x, y], y]==0 for (y = 0 and Abs[ x] > 0.5)

Is there a way to set up NDSolve to do this. Or has someone a
(numerical) routine that can do this.

Any help will be greatly appreciated.

Volker

Volker.Wagner at EPFL.ch



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