On Solving the Lorenz System by Differential Transformation Method

作     者：M. Mossa Al-Sawalha M. S. M. Noorani 

作者机构：School of Mathematical Sciences University Kebangsaan Malaysia 43600 UKM Bangi Selangor Malaysia 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2008年第25卷第4期

页      面：1217-1219页

核心收录：

学科分类：080804[工学-电力电子与电力传动] 080805[工学-电工理论与新技术] 0808[工学-电气工程] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 

基　　金：Supported by the Malaysian ministray of Science  Technology and Environment Science fund under Grant No40-01-02-SF0177 

主　　题：supernova explosion proto-neutron star shock wave 

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.