A Differential Transformation Method for Approximating the Chaotic Chen System
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Date
2016
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Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Mathematical Analysis
Abstract
This paper presents approximate analytical solutions for chaotic Chen system which is a three-dimensional system of ordinary differential equations using differential transform method. Comparisons between the fourth-order Runge-Kutta (RK4) methods with different time steps were done. It has been observed that the accuracy of RK4 solutions can be increased by decreasing the time step. Furthermore, the numerical results are compared to those obtained by the Runge-Kutta method to illustrate the preciseness and effectiveness of the proposed method.
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Keywords
Differential Transform Method, Chaotic Chen System, Runge-Kutta Method
Citation
Vol. 10 no. 17, 833 - 848