On Comparison of Series and Numerical Solutions for Second Painleve Equation

R. Ellahi; S. Abbasbandy; T. Hayat; A. Zeeshan

doi:10.1002/num.20475

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On Comparison of Series and Numerical Solutions for Second Painleve Equation

Journal article

Peer reviewed

On Comparison of Series and Numerical Solutions for Second Painleve Equation

R. Ellahi, S. Abbasbandy, T. Hayat and A. Zeeshan

Numerical methods for partial differential equations, Vol.26(5), pp.1070-1078

01/09/2010

DOI: https://doi.org/10.1002/num.20475

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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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Title: On Comparison of Series and Numerical Solutions for Second Painleve Equation
Creators - without role: R. Ellahi - International Islamic University, Islamabad
S. Abbasbandy - Imam Khomeini International University
T. Hayat - Quaid-i-Azam University
A. Zeeshan - International Islamic University, Islamabad
Publication Details: Numerical methods for partial differential equations, Vol.26(5), pp.1070-1078
Publisher: Wiley
Number of pages: 9
Grant note: HEC (Pakistan); Higher Education Commission of Pakistan
Identifiers: 9946213508331
Academic Unit: King Saud University; King Fahd University of Petroleum & Minerals
Language: English
Resource Type: Journal article