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OALib Journal期刊
ISSN: 2333-9721
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On Solving the Lorenz System by Differential Transformation Method

Keywords: 05,45,-a,05,10,-a,05,45,Pq

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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 anon-chaotic system to a chaotic one. It is shown that the (DTM) is robust, accurate and easy to apply.

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