Efficiency of Differential Transformation Method for Genesio System| Science Publications

Journal of Mathematics and Statistics

Jafar H. Ahmad¹ 

关键词: Genesio system;    differential transformation;    Runge-Kutta;    numerical method;   

DOI  :  10.3844/jmssp.2009.93.96

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: In this study, a continuous solution for Genesio system was considered using Differential Transformation Method (DTM). Approach: Numerical results were compared to those obtained by the Runge-Kutta method to evaluate the performance of the suggested method. Results: The accuracy of the DTM was tested as the chaotic Genesio system. Conclusion/Recommendations: It was shown that the DTM was robust, accurate and easy to apply and gave analytical solution on each subinterval, which was not possible in the purely numerical method.

【 授权许可】

Unknown