Numerical solution of chaotic Genesio system with multi-step Laplace Adomian decomposition method

Kuwait Journal of Science

NURETTIN DOGAN¹ 

[1] Department of Computer Engineering, Faculty of Technology, Gazi University, 06500, Teknikokullar, Ankara, Turkey

关键词: Genesio system;    multistep;    Laplace-Adomian;    nonlinear;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

ABSTRACT In this paper, a novel method for approximate analytic series solution called Multi-step Laplace Adomian Decomposition Method (MLADM) has been proposed for solving the chaotic Genesio system (CGS). The proposed method is a modification of the classical Laplace Adomian Decomposition Method (LADM) with multi-step approach. Fourth-order Runge-Kutta method (RK4) is used to evaluate the effectiveness of the proposed algorithm. Comparison of the results with RK4 confirms that MLADM performs very high accuracy. Results show that MLADM is a very promising method for obtaining approximate solutions to CGS. Moreover, it can be readily employed to solve other chaotic systems.

【 授权许可】

Unknown