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

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

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dc.contributor.author Chowdhury, M.S.H.
dc.contributor.author Hashim, I.
dc.contributor.author Momani, S.
dc.date.accessioned 2009-12-27T09:04:29Z
dc.date.available 2009-12-27T09:04:29Z
dc.date.issued 2007-09-17
dc.identifier.citation Volume 40, Issue 4, 30 May 2009, Pages 1929-1937 en_US
dc.identifier.uri http://dx.doi.org/10.1016/j.chaos.2007.09.073
dc.identifier.uri http://hdl.handle.net/10576/10479
dc.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
dc.language.iso en en_US
dc.publisher Chaos, Solitons & Fractals en_US
dc.title The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system en_US
dc.type Article en_US

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