Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method

M. S H Chowdhury, Ishak Hashim

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden-Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective and simple.

Original languageEnglish
Pages (from-to)305-313
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume368
Issue number3-4
DOIs
Publication statusPublished - 20 Aug 2007

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perturbation
boundary value problems

Keywords

  • Homotopy-perturbation method
  • Time-dependent Emden-Fowler equation
  • Time-dependent Lane-Emden equation
  • Wave-type equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method. / Chowdhury, M. S H; Hashim, Ishak.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 368, No. 3-4, 20.08.2007, p. 305-313.

Research output: Contribution to journalArticle

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