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Laplace's Equation

  • To: mathgroup at
  • Subject: [mg15095] Laplace's Equation
  • From: Lawrence Walker <lwalker701 at>
  • Date: Sat, 12 Dec 1998 03:58:59 -0500
  • Organization: Morgan State University: COMSARE
  • Sender: owner-wri-mathgroup at


I can solve the following problem by hand using separation of variables:

Given Laplace's equation Uxx+Uyy=0 or D[U,{x,2}]+D[U,{y,2}]==0 in the
column 0<x<L1 and 0<y<L2 satisfying the boundary conditions U(0,y)=0
and U(L1,y)=0. Find U(x,y).

How do I setup and solve this problem automatically using Mathematica? 




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        Lawrence A. Walker Jr., M.Eng./Ph.D. Candidate
                   Morgan State University
          Clarence M. Mitchell School of Engineering
 COMSARE (Center Of Microwave/Satellite And RF Engineering)
           Rm: 306-Schafer     Phone: (443)885-1453

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