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MathGroup Archive 2002

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Re: PDE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg35297] Re: PDE
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Sat, 6 Jul 2002 06:10:22 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <ag3euo$73u$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

no but ist is easy by hand -- use the eigenfunctions

Sin[k Pi x/L]*Sin[m Pi y/L] 

and the eigenvalues 

k^2 Pi^2/L^2 + m^2 Pi^2/L^2

and use the Fourier series. That's the simplest example
in standard text books about PDE's. You don't need a 
computer algebra
for that.

Regards
  Jens

mitja Lakner wrote:
> 
> Is there any package for solving eigenvalue problem for the Laplacian operator
> on the 2D (not rectangular) region with zero boundary value?
> 
> f_{xx}+f_{yy}= t f
> 
> Mitja Lakner


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