A note on the Adomian decomposition method for the generalized Huxley equation

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In a recent paper, Ismail et al. [Adomian decomposition method for Burgers-Huxley and Burgers-Fisher equations, Appl. Math. Comput. 159 (2004) 291-301] employed the Adomian decomposition method (ADM) to solve, in particular, a generalized nonlinear Huxley equation. The purpose of this note is to correct Ismail et al.'s numerical solutions of the generalized Huxley equation. In addition, a convergence proof of the ADM applied to the generalized Huxley equation is also given.

Original languageEnglish
Pages (from-to)1439-1445
Number of pages7
JournalApplied Mathematics and Computation
Volume181
Issue number2
DOIs
Publication statusPublished - 15 Oct 2006

Fingerprint

Adomian Decomposition Method
Generalized Equation
Decomposition
Fisher Equation
Burgers Equation
Nonlinear equations
Nonlinear Equations
Numerical Solution

Keywords

  • Adomian decomposition method
  • Huxley equation
  • Nonlinear PDE

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

A note on the Adomian decomposition method for the generalized Huxley equation. / Hashim, Ishak; Md. Noorani, Mohd. Salmi; Batiha, B.

In: Applied Mathematics and Computation, Vol. 181, No. 2, 15.10.2006, p. 1439-1445.

Research output: Contribution to journalArticle

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