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The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
Chowdhury M.S.H., Hashim I.,
Published in
2009
Volume: 40
   
Issue: 4
Pages: 1929 - 1937
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. © 2007 Elsevier Ltd. All rights reserved.
About the journal
JournalChaos, Solitons and Fractals
ISSN09600779
Open AccessNo