| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1891975 | Chaos, Solitons & Fractals | 2009 | 9 Pages |
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.
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Authors
M.S.H. Chowdhury, I. Hashim, S. Momani,