Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs

被引：38

作者：

Hashim, I. ^{[1
]}

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

机构：

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

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 04期

关键词：

homotopy-perturbation method; Runge-Kutta method; system of ODEs;

D O I：

10.1016/j.physleta.2007.07.067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated, for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the Multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge-Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：470 / 481

页数：12

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