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 _______________________________________________________________________ Paul Abbott Phone: 61 8 6488 2734 School of Physics, M013 Fax: +61 8 6488 1014 The University of Western Australia (CRICOS Provider No 00126G) AUSTRALIA http://physics.uwa.edu.au/~paul