Title : ( A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system )
Authors: Asghar Ghorbani , Jafar Saberi- Nadjafi ,
Full TextAbstract
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
@article{paperid:1021868,
author = {Ghorbani, Asghar and Saberi- Nadjafi, Jafar},
title = {A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system},
journal = {Mathematical and Computer Modelling},
year = {2011},
volume = {54},
number = {2},
month = {June},
issn = {0895-7177},
pages = {131--139},
numpages = {8},
keywords = {Piecewise-spectral PIM
Spectral collocation
Convergence theorem
Valid/stability region
Runge–Kutta method
Chaotic Genesio system},
}
%0 Journal Article
%T A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system
%A Ghorbani, Asghar
%A Saberi- Nadjafi, Jafar
%J Mathematical and Computer Modelling
%@ 0895-7177
%D 2011
