On Comparison of Series and Numerical Solutions for Second Painleve Equation

被引：18
|
作者：
Ellahi, R. [1 ]
Abbasbandy, S. [2 ]
Hayat, T. [3 ]
Zeeshan, A. [1 ]
机构：
[1] IIU, Dept Math & Stat, Fac Basic & Appl Sci, Islamabad 44000, Pakistan
[2] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 05期
关键词：
convergence; second Painleve equation; series solution; HOMOTOPY ANALYSIS METHOD; 4TH GRADE FLUID; THIN-FILM FLOWS; SHEET; HAM;
D O I：
10.1002/num.20475
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This attempt presents the series solution of second Painleve equation by homotopy analysis method (HAM). Comparison of HAM solution is provided with that of the Adomian decomposition method (ADM), homotopy perturbation method (HPM), analytic continuation method, and Legendre Tau method. It is revealed that there is very good agreement between the analytic continuation and HAM solutions when compared with ADM, HPM, and Legendre Tau solutions. (C) 2009 Wiley Periodicals. Inc. Numer Methods Partial Differential Eq 26: 1070-1078, 2010
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页码：1070 / 1078
页数：9
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