Solutions of Emden-Fowler equations by homotopy-perturbation method

M. S H Chowdhury, Ishak Hashim

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

In this paper, approximate and/or exact analytical solutions of the generalized Emden-Fowler type equations in the second-order ordinary differential equations (ODEs) are obtained by homotopy-perturbation method (HPM). The homotopy-perturbation method (HPM) is a coupling of the perturbation method and the homotopy method. The main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to solve. In this work, HPM yields solutions in convergent series forms with easily computable terms, and in some cases, only one iteration leads to the high accuracy of the solutions. Comparisons with the exact solutions and the solutions obtained by the Adomian decomposition method (ADM) show the efficiency of HPM in solving equations with singularity.

Original languageEnglish
Pages (from-to)104-115
Number of pages12
JournalNonlinear Analysis: Real World Applications
Volume10
Issue number1
DOIs
Publication statusPublished - Feb 2009

Fingerprint

Emden-Fowler Equation
Homotopy Perturbation Method
Ordinary differential equations
Decomposition
Homotopy Method
Adomian Decomposition Method
Second-order Ordinary Differential Equations
Perturbation Method
Analytical Solution
High Accuracy
Exact Solution
Homotopy perturbation method
Singularity
Iteration
Series
Term

Keywords

  • Emden-Fowler equations
  • Homotopy-perturbation method
  • Lane-Emden equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)
  • Modelling and Simulation
  • Engineering (miscellaneous)

Cite this

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

In: Nonlinear Analysis: Real World Applications, Vol. 10, No. 1, 02.2009, p. 104-115.

Research output: Contribution to journalArticle

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