Application of the variational iteration method for solving nth-order integro-differential equations

被引：22

作者：

Shang, Xufeng ^{[1
]}

Han, Danfu ^{[2
]}

机构：

[1] China Jiliang Univ, Dept Informat & Math Sci, Hangzhou 310018, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 05期

关键词：

Variational iteration method; Integro-differential equations; The system of ordinary integro-differential equations; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.cam.2010.02.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we solve nth-order integro-differential equations by changing the problem to a system of ordinary integro-differential equations and using the variational iteration method. The variational iteration formula is derived and the Lagrange multiplier can be effectively identified. It is well known that one of the advantages of He's variational iteration method is the free choice of initial approximation. Therefore, we use this advantage to construct an initial values without unknown parameters. Some examples are given and the results reveal that the method is very effective and simple compared with the Homotopy perturbation method (HPM). (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1442 / 1447

页数：6

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