A variational approach to nonlinear two-point boundary value problems

被引:24
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
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
引用
收藏
页码:E834 / E838
页数:5
相关论文
共 13 条
[1]  
Burden R.L., 1980, Numerical analysis
[2]  
Greenspan D., 1988, NUMERICAL ANAL APPL
[3]   A nonlinear shooting method for two-point boundary value problems [J].
Ha, SN .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (10-11) :1411-1420
[4]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[5]   Construction of solitary solution and compacton-like solution by variational iteration method [J].
He, JH ;
Wu, XH .
CHAOS SOLITONS & FRACTALS, 2006, 29 (01) :108-113
[6]   Homotopy perturbation method for solving boundary value problems [J].
He, JH .
PHYSICS LETTERS A, 2006, 350 (1-2) :87-88
[7]   A coupling method of a homotopy technique and a perturbation technique for non-linear problems [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) :37-43
[8]   Variational principles for some nonlinear partial differential equations with variable coefficients [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2004, 19 (04) :847-851
[9]   Variational approach to diffusion reaction in spherical porous catalyst [J].
He, JH ;
Liu, HM .
CHEMICAL ENGINEERING & TECHNOLOGY, 2004, 27 (04) :376-377
[10]  
HE JH, CHAOS SOLIT IN PRESS