Eigenmode problems/Boundary conditions at infinity?

*To*: mathgroup at smc.vnet.net*Subject*: [mg69394] Eigenmode problems/Boundary conditions at infinity?*From*: AES <siegman at stanford.edu>*Date*: Sun, 10 Sep 2006 07:20:18 -0400 (EDT)*Organization*: Stanford University

Objective is to solve (numerically) a second-order differential equation in x containing one adjustable parameter so as to satisfy boundary conditions at x=0 and x=Infinity -- in other words, a classic eigenmode problem. Any built-in Mathematica routines or packages for doing this? -- or does one have to gin up one's own version of the shooting method, or some other textbook method? And, do any of Mathematica's equation solving routines handle boundary conditions at Infinity or "in the limit"? -- That is, "solution must approach zero as x approaches infinity". Can't find any mention of this in the documentation, or in several of the standard Mathematica texts.