A variational approach to nonlinear two-point boundary value problems

A variational approach is applied to nonlinear two-point boundary value problems. In this method, an initial solution is chosen with some unknown parameters, which can be identified by making J(y) stationary with respect to these parameters. Comparison with the exact solution shows that the method i...

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Bibliographic Details
Published in:Nonlinear analysis 2009-12, Vol.71 (12), p.e834-e838
Main Authors: Mo, Lu-Feng, Wang, Shu-Qiang
Format: Article
Language:English
Subjects:
Boundary value problems
Exact solutions
Mathematical analysis
Nonlinearity
Two-point boundary value problems
Variational approach
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Description
Summary:A variational approach is applied to nonlinear two-point boundary value problems. In this method, an initial solution is chosen with some unknown parameters, which can be identified by making J(y) stationary with respect to these parameters. Comparison with the exact solution shows that the method is very effective and convenient.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.12.006