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 ,

Citation: BibTeX | EndNote

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.

Keywords

, Piecewise, spectral PIM Spectral collocation Convergence theorem Valid/stability region Runge–Kutta method Chaotic Genesio system