Solutions of a class of singular second-order IVPs by homotopy-perturbation method

M. S H Chowdhury, Ishak Hashim

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

Original languageEnglish
Pages (from-to)439-447
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume365
Issue number5-6
DOIs
Publication statusPublished - 11 Jun 2007

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boundary value problems
perturbation
iteration
differential equations
decomposition

Keywords

  • Homotopy-perturbation method
  • Lane-Emden equation
  • Singular IVPs

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Solutions of a class of singular second-order IVPs by homotopy-perturbation method. / Chowdhury, M. S H; Hashim, Ishak.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 365, No. 5-6, 11.06.2007, p. 439-447.

Research output: Contribution to journalArticle

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