Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method

Fazle Mabood, Ahmad Izani Md Ismail, Ishak Hashim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The Painlev̀e equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II,., VI. In this paper, we employed the Optimal Homotopy Asymptotic Method (OHAM) to find the approximate solution of Painlev̀e equation I. The results obtained by OHAM are compared with those obtained by Homotopy Perturbation Method (HPM), Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM), and excellent agreement has been found.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages630-635
Number of pages6
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

asymptotic methods
iteration
differential equations
decomposition
perturbation

Keywords

  • Nonlinear ordinary differential equation
  • Optimal Homotopy Asymptotic method
  • Painlev?e equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Mabood, F., Md Ismail, A. I., & Hashim, I. (2013). Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method. In AIP Conference Proceedings (Vol. 1522, pp. 630-635) https://doi.org/10.1063/1.4801183

Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method. / Mabood, Fazle; Md Ismail, Ahmad Izani; Hashim, Ishak.

AIP Conference Proceedings. Vol. 1522 2013. p. 630-635.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mabood, F, Md Ismail, AI & Hashim, I 2013, Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method. in AIP Conference Proceedings. vol. 1522, pp. 630-635, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801183
Mabood F, Md Ismail AI, Hashim I. Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method. In AIP Conference Proceedings. Vol. 1522. 2013. p. 630-635 https://doi.org/10.1063/1.4801183
Mabood, Fazle ; Md Ismail, Ahmad Izani ; Hashim, Ishak. / Numerical solution of Painlev̀e equation i by optimal homotopy asymptotic method. AIP Conference Proceedings. Vol. 1522 2013. pp. 630-635
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