On comparison of series and numerical solutions for second Painlevé equation |
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| Authors: | R Ellahi S Abbasbandy T Hayat A Zeeshan |
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| Institution: | 1. Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, IIU, Islamabad 2. 44000, Pakistan;3. Department of Mathematics, Imam Khomeini International University, Ghazvin 4. 34149‐16818, Iran;5. Department of Mathematics, Quaid‐i‐Azam University, Islamabad 44000, Pakistan |
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| Abstract: | This attempt presents the series solution of second Painlevé 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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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| Keywords: | convergence second Painlevé equation series solution |
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