A variational approach to nonlinear two-point boundary value problems

被引：20
|
作者：
Mo, Lu-Feng [1 ]
Wang, Shu-Qiang [2 ]
机构：
[1] Donghua Univ, Coll Text, Shanghai 200051, Peoples R China
[2] Donghua Univ, Coll Sci, Shanghai 200051, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Variational approach; Two-point boundary value problems; ITERATION METHOD; EQUATIONS;
D O I：
10.1016/j.na.2008.12.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2009 Published by Elsevier Ltd
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页码：E834 / E838
页数：5
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