Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

M. S H Chowdhury, Ishak Hashim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.

Original languageEnglish
Pages (from-to)495-504
Number of pages10
JournalSains Malaysiana
Volume39
Issue number3
Publication statusPublished - Jun 2010

Fingerprint

Reaction-diffusion Problems
Homotopy Perturbation Method
Cauchy Problem
Analytical Solution
Homotopy Analysis Method
Adomian Decomposition Method
Exact Solution
Series
Term

Keywords

  • Cauchy problems
  • Homotopy-perturbation method
  • Reaction-diffusion equation

ASJC Scopus subject areas

  • General

Cite this

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method. / Chowdhury, M. S H; Hashim, Ishak.

In: Sains Malaysiana, Vol. 39, No. 3, 06.2010, p. 495-504.

Research output: Contribution to journalArticle

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