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Author Chowdhury, M.S.H.en_US
Author Hashim, I.en_US
Author Momani, S.en_US
Available date 2009-12-27T09:04:29Zen_US
Publication Date 2007-09-17en_US
Publication Name Chaos, Solitons & Fractals
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), 1929–1937en_US
URI http://dx.doi.org/10.1016/j.chaos.2007.09.073en_US
URI http://hdl.handle.net/10576/10479en_US
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 enen_US
Publisher Elsevieren_US
Subject Lorenz equations
Subject Homotopy theory
Subject Perturbation (Mathematics)
Title The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz systemen_US
Type Articleen_US
Pagination 1929–1937


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