Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems

Grey Ballard; John Baxley; Nisrine Libbus

doi:10.3934/cpaa.2006.5.251

Article Contents

2006, Volume 5, Issue 2: 251-259. Doi: 10.3934/cpaa.2006.5.251

This issue Previous Article Defect correction for spectral computations for a singular integral operator Next Article The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays

Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems

1.
Department of Mathematics, Wake Forest University, P.O. Box 7388, Winston-Salem, NC 27109

Received: March 2005

Revised: June 2005

Published: June 2006

Abstract / Introduction Related Papers Cited by

Abstract

We consider nonlinear boundary value problems with multiple solutions. A method is proposed for the computation of such solutions which depends crucially on known a priori qualitative information about the behavior of the solutions. The method is a two-stage method where the second stage is a shooting method and initial values of the shooting parameters are found in a first stage which approximates the boundary value problem with a discrete approximation. Both nonsingular and singular problems are considered.

Keywords:

Mathematics Subject Classification: Primary: 34B15, 65L10; Secondary: 65L12, 34B16, 34B18, 34A45.

Citation:

Article Metrics

HTML views() PDF downloads(89) Cited by(0)

Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content