摘要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.
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.
M. Mossa Al-Sawalha; M. S. M. Noorani. On Solving the Lorenz System by Differential Transformation Method[J]. 中国物理快报, 2008, 25(4): 1217-1219.
M. Mossa Al-Sawalha, M. S. M. Noorani. On Solving the Lorenz System by Differential Transformation Method. Chin. Phys. Lett., 2008, 25(4): 1217-1219.
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2008, Vol. 25 
