Rational Homotopy Perturbation Method for solving stiff systems of ordinary differential equations

被引：25

作者：

Biazar, Jafar ^{[1
]}

Asadi, Mohammad Ali ^{[1
,2
]}

Salehi, Farideh ^{[2
]}

机构：

[1] Univ Guilan, Fac Sci, Dept Math, Rasht 41938, Iran

[2] Islamic Azad Univ, Darab Branch, Dept Math, Darab, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 3-4期

关键词：

Rational Homotopy Perturbation Method; Stiff systems of ODEs; Homotopy Perturbation Method; Homotopy-Pade; BOUNDARY-VALUE-PROBLEMS; HAAR WAVELET APPROACH; ODES;

D O I：

10.1016/j.apm.2014.09.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper applies a new modification of the Homotopy Perturbation Method that is called Rational Homotopy Perturbation Method (RHPM) to obtain an analytic approximation of stiff systems of ordinary differential equations. The procedure of the method will be explained briefly and some examples are presented to illustrate the method. The results of RHPM, are compared with those of traditional Homotopy Perturbation Method. The results show the accuracy and fast convergence of the proposed method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1291 / 1299

页数：9

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