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On Solving the Lorenz System by Differential Transformation Method |
| M. Mossa Al-Sawalha; M. S. M. Noorani |
| School of Mathematical Sciences, University Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia |
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| Cite this article: |
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M. Mossa Al-Sawalha, M. S. M. Noorani 2008 Chin. Phys. Lett. 25 1217-1219 |
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Abstract The differential transformation method (DTM) is employed to solve a nonlinear differential equation, namely the Lorenz system. Numerical results are compared to those obtained by the Runge--Kutta method to illustrate the preciseness and effectiveness of the proposed method. In particular, we examine the accuracy of the (DTM) as the Lorenz system changes from a
non-chaotic system to a chaotic one. It is shown that the (DTM) is robust, accurate and easy to apply.
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| Keywords:
05.45.-a
05.10.-a
05.45.Pq
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Received: 10 December 2007
Published: 31 March 2008
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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[5] Lorenz E N 1963 J. Atmosph. Sci. 20 130 |
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