The Homotopy Analysis Method for Explicit Analytical Solutions of Jaulent-Miodek Equations

被引：41

作者：

Rashidi, M. M. ^{[1
]}

Domairry, G. ^{[2
]}

Dinarvand, S. ^{[1
]}

机构：

[1] Bu Ali Sina Univ, Fac Engn, Dept Mech Engn, Hamadan, Iran

[2] Mazandaran Univ, Dept Mech Engn, Babol Sar, Iran

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 02期

关键词：

homotopy analysis method; Jaulent-Miodek equation; system of nonlinear partial differential equations; NON-NEWTONIAN FLUIDS; MHD FLOW; NONLINEAR EQUATIONS; 2ND-GRADE FLUID; HEAT-TRANSFER; VISCOUS-FLOW; DECOMPOSITION;

D O I：

10.1002/num.20358

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the homotopy analysis method (HAM) is applied to obtain the explicit analytical solutions for system of the Jaulent-Miodek equations. The validity of the method is verified by comparing the approximation series solutions with the exact solutions. Unlike perturbation methods, the HAM does not depend on any small physical parameters at all. Thus, it is valid for both weakly and strongly nonlinear problems. Besides, different from all other analytic techniques, the HAM provides us a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter h. Briefly speaking, this work verifies the validity and the potential of the HAM for the study of nonlinear systems. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 430-439, 2009

引用

页码：430 / 439

页数：10

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