Improvement of He's variational iteration method for solving systems of differential equations

被引：43

作者：

Tatari, Mehdi ^{[2
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amir Kabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran

[2] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 11-12期

关键词：

He's variational iteration method; System of differential equations; Modified variational iteration method; System of partial differential equations; System of integral equations; NUMERICAL-SOLUTION; APPROXIMATE SOLUTION; PARABOLIC EQUATION; SIMULATION; MECHANICS; BURGERS; KDV;

D O I：

10.1016/j.camwa.2009.03.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In recent years a lot of attention from researchers has been attracted to the various aspects of the well known He's variational iteration method. This method is a very powerful method for solving a large amount of problems. It provides a sequence which converges to the solution of the problem without discretization of the variables. In this work an idea is proposed that accelerates the convergence of the sequences which result from the variational iteration method for solving systems of differential equations. Illustrative examples are presented to show the validity of the new method. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2160 / 2166

页数：7

共 36 条

[1] Variational iteration method for solving Burger's and coupled Burger's equations [J].

Abdou, MA ;

Soliman, AA .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251

[2]

Biazar J, 2007, INT J NONLINEAR SCI, V8, P311

[3] Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices [J].

Dehghan, M .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2006, 71 (01) :16-30

[4]

DEHGHAN M, NUMERICAL M IN PRESS

[5]

DEHGHAN M, 2008, COMMUNICATI IN PRESS

[6]

DEHGHAN M, 2008, CHAOS SOLIT IN PRESS

[7] Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem [J].

Dehghan, Mehdi ;

Shakeri, Fatemeh .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (02) :435-446

[8] Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method [J].

Dehghan, Mehdi ;

Tatari, Mehdi .

CHAOS SOLITONS & FRACTALS, 2008, 36 (01) :157-166

[9] Approximate solution of a differential equation arising in astrophysics using the variational iteration method [J].

Dehghan, Mehdi ;

Shakeri, Fatemeh .

NEW ASTRONOMY, 2008, 13 (01) :53-59

[10] The use of He's variational iteration method for solving a Fokker-Planck equation [J].

Dehghan, Mehdi ;

Tatari, Mehdi .

PHYSICA SCRIPTA, 2006, 74 (03) :310-316

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