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Re: Sturm-Liouville (eigenvalue/eigenfunction) problems

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67859] Re: Sturm-Liouville (eigenvalue/eigenfunction) problems
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Mon, 10 Jul 2006 06:38:52 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <e784cg$fo8$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <e784cg$fo8$1 at smc.vnet.net>,
 "Alan" <info at optioncity.REMOVETHIS.net> wrote:

> Anyone know some available Mathematica sources
> for these problems on a finite interval?

There are many approaches to solving Sturm-Liouville problems in 
Mathematica. Probably the most straightforward approach is to use 
variational (or Galerkin) methods. For example, VariationalBound or 
NVariationalBound in

  <<Calculus`VariationalMethods`

give approximate eigenvalues and eigenfunctions.

As an aside, Trott outlines the inverse Sturm-Liouville problem in his 
Symbolics Guidebook (pp 337-8).

Cheers,
Paul

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Paul Abbott                                      Phone:  61 8 6488 2734
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The University of Western Australia         (CRICOS Provider No 00126G)    
AUSTRALIA                               http://physics.uwa.edu.au/~paul


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