Re: NDSolve with boundary condition(s) at infinity?
- To: mathgroup at smc.vnet.net
- Subject: [mg68531] Re: NDSolve with boundary condition(s) at infinity?
- From: "Narasimham" <mathma18 at hotmail.com>
- Date: Wed, 9 Aug 2006 04:18:42 -0400 (EDT)
- References: <firstname.lastname@example.org>
- Sender: owner-wri-mathgroup at wolfram.com
AES wrote: > Can NDSolve be used for ODEs with one (or two) boundary condition(s) > being that solution must tend toward zero at infinity? > > [Eigenmodes of complex slab waveguides with transversely varying index > and loss profiles being the case of interest.] > > Pointers to alternative Mathematica-based attacks? > > [Didn't find any answer to first query in extended documentation for > NDSolve.] If function behaviour is a priori known to have symmetry somewhere, perhaps better to avoid asymmetric asymptotic boundary conditions in the ODE itself. Otherwise I do not know.. For example in Gaussian distribution y''[x]= - y[x] ( 1- ( x/a)^2 ), a choice of symmetric case boundary conditions as initial value problem y ==1 , y' ==0 includes the zero at infinity automatically.