He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients

被引：9

作者：

Yusufoglu, Elcin ^{[1
]}

Erbas, Baris ^{[2
]}

机构：

[1] Dumlupinar Univ, Art Sci Fac, Dept Math, TR-43100 Kutahya, Turkey

[2] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 21期

关键词：

variational iteration method; prey and the predator problem; system of nonlinear differential equations; Adomian decomposition method; power series method;

D O I：

10.1016/j.physleta.2008.02.073

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, a mathematical model of the problem of prey and predator is presented and He's variational iteration method is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. The results are compared with the results obtained by Adomian decomposition method and homotopy perturbation method. Comparison of the methods show that He's variational iteration method is a powerful method for obtaining approximate solutions to nonlinear equations and their systems. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：3829 / 3835

页数：7

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