Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Momani, Shaher Mohammad (2009) The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Chaos, Solitons and Fractals, 40 (4). pp. 1929-1937. ISSN 0960-0779
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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
Item Type: | Article (Journal) |
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Additional Information: | 5807/6663 |
Uncontrolled Keywords: | homotopy-pertubation, Lorenz |
Subjects: | Q Science > QA Mathematics > QA76 Computer software |
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Engineering > Department of Science |
Depositing User: | Dr. Md Sazzad Hossien Chowdhury |
Date Deposited: | 11 Nov 2011 10:39 |
Last Modified: | 22 Nov 2011 01:30 |
URI: | http://irep.iium.edu.my/id/eprint/6663 |
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