A new extended homotopy perturbation method for nonlinear differential equations

被引：13

作者：

Wang, Fei ^{[1
]}

Li, Wei ^{[1
]}

Zhang, Hongqing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 3-4期

关键词：

Extended homotopy perturbation method; Approximate analytical solutions; Benny equation; Ito equation; EVOLUTION-EQUATIONS; INTEGRAL-EQUATIONS; WAVES; SYSTEM;

D O I：

10.1016/j.mcm.2011.10.029

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we propose a new extended homotopy perturbation method (EHPM) to improve the accuracy and the computational efficiency for the homotopy perturbation method. The key point of this method is to construct multiple-parameter homotopy equation. By adjusting the parameters, we obtain an optimal approximate solution. The method is applied to solve the Benny equation and the Ito equation. An error estimate between exact solution and approximate analytical solution of equations is given and the efficiency of the EHPM is discussed. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1471 / 1477

页数：7

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