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AuthorChowdhury, M.S.H.
AuthorHashim, I.
AuthorMomani, S.
Available date2009-12-27T09:04:29Z
Publication Date2007-09-17
Publication NameChaos, Solitons & Fractals
Identifierhttp://dx.doi.org/10.1016/j.chaos.2007.09.073
CitationChowdhury, 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
URIhttp://hdl.handle.net/10576/10479
AbstractIn 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.
Languageen
PublisherElsevier
SubjectLorenz equations
SubjectHomotopy theory
SubjectPerturbation (Mathematics)
TitleThe multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
TypeArticle
Pagination1929–1937


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