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

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contributor.author Chowdhury, M.S.H. en_US
contributor.author Hashim, I. en_US
contributor.author Momani, S. en_US
date.accessioned 2009-12-27T09:04:29Z en_US
date.available 2009-12-27T09:04:29Z en_US
date.issued 2007-09-17 en_US
identifier.citation Chowdhury, M. S. H., Hashim, I., & Momani, S. (2009). The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system. Chaos, Solitons & Fractals, 40(4), 1929–1937 en_US
identifier.uri http://dx.doi.org/10.1016/j.chaos.2007.09.073 en_US
identifier.uri http://hdl.handle.net/10576/10479 en_US
description.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. en_US
language.iso en en_US
publisher Elsevier en_US
title The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system en_US
type Article en_US


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