The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system

M.S.H. Chowdhury, I. Hashim and S. Momani

Chaos, Solitons & Fractals, 2009, vol. 40, issue 4, 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:4:p:1929-1937

DOI: 10.1016/j.chaos.2007.09.073

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