๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A numerical approach to nonlinear two-point boundary value problems for ODEs

โœ Scribed by S. Cuomo; A. Marasco

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
596 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we propose a numerical approach to solve some problems connected with the implementation of the Newton type methods for the resolution of the nonlinear system of equations related to the discretization of a nonlinear two-point BVPs for ODEs with mixed linear boundary conditions by using the finite difference method.

๐Ÿ“œ SIMILAR VOLUMES

A variational approach to nonlinear two-
A variational approach to nonlinear two-point boundary value problems
โœ Shu-Qiang Wang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

A variational formulation is established for a nonlinear two-point boundary value problem, an analytical solution is obtained using the Ritz method, and the obtained solution is valid for the whole solution domain.

A nonlinear shooting method for two-poin
A nonlinear shooting method for two-point boundary value problems
โœ Sung N. Ha ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 580 KB

We study a new nonlinear shooting method for solving two-point boundary value problems and show numerical experiments with various initial velocity conditions. We discuss and analyze the numerical solutions which are obtained by the shooting method.