A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system
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. (C) 2011 Elsevier Ltd. All rights reserved.
chaotic genesio system spectral collocation runge-kutta method piecewise-spectral pim convergence theorem valid/stability region