A Differential Transformation Method for Approximating the Chaotic Chen System

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.