Solving variational problems by homotopy-perturbation method

被引：21

作者：

Abdulaziz, O. ^{[1
]}

Hashim, I. ^{[1
]}

Chowdhury, M. S. H. ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Malaysia

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2008年 / 75卷 / 06期

关键词：

calculus of variations; variational problems; Euler-Lagrange equation; homotopy-perturbation method;

D O I：

10.1002/nme.2279

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we consider some problems in calculus of variations. Homotopy-perturbation method (HPM) is adopted to obtain approximate analytical Solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily Computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions to variational problems. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：709 / 721

页数：13

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