The multistage homotopy-perturbation method

A powerful scheme for handling the Lorenz system

M. S H Chowdhury, Ishak Hashim, S. Momani

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge-Kutta (RK4) method reveal that the new technique is a promising tool for the nonlinear systems of ODEs.

Original languageEnglish
Pages (from-to)1929-1937
Number of pages9
JournalChaos, Solitons and Fractals
Volume40
Issue number4
DOIs
Publication statusPublished - 30 May 2009

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Homotopy Perturbation Method
Lorenz System
Numerical Comparisons
Runge-Kutta Methods
Fourth Order
Approximate Solution
Nonlinear Systems
Interval

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The multistage homotopy-perturbation method : A powerful scheme for handling the Lorenz system. / Chowdhury, M. S H; Hashim, Ishak; Momani, S.

In: Chaos, Solitons and Fractals, Vol. 40, No. 4, 30.05.2009, p. 1929-1937.

Research output: Contribution to journalArticle

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