Mathematical and Computer Modelling, ( ISI ), Volume (54), No (2), Year (2011-6) , Pages (131-139)
Title : ( A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system )
Authors: Asghar Ghorbani , Jafar Saberi- Nadjafi ,File:
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Abstract
In this paper, an effective algorithm which is a combination of the spectral collocation method and the parametric iteration method (PIM) is proposed for simulating the solution of the chaotic Genesio system (CGS). Comparison with the fourth-order Runge–Kutta method (RK4) confirms the very high accuracy of the presented algorithm. The obtained results reveal that the proposed algorithm is a promising method for the solution of the CGS and more promising because it can further be readily employed to solve other chaotic systems.