The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
| Author | Chowdhury, M.S.H. |
| Author | Hashim, I. |
| Author | Momani, S. |
| Available date | 2009-12-27T09:04:29Z |
| Publication Date | 2007-09-17 |
| Publication Name | Chaos, Solitons & Fractals |
| Identifier | http://dx.doi.org/10.1016/j.chaos.2007.09.073 |
| 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), 1929–1937 |
| 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. |
| Language | en |
| Publisher | Elsevier |
| Subject | Lorenz equations Homotopy theory Perturbation (Mathematics) |
| Type | Article |
| Pagination | 1929–1937 |
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Mathematics, Statistics & Physics [740 items ]