The multistage Adomian Decomposition Method for solving chaotic Lü System

In this paper, a numerical scheme based on adaption of standard Adomian Decomposition Method (ADM) is applied to the chaotic Lü system. Then, the standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the standard ADM and the four...

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Bibliographic Details
Main Authors: Razali, Nur Isnida, Chowdhury, Md. Sazzad Hossien, Asrar, Waqar
Format: Article
Language:English
Published: IDOSI Publications 2013
Subjects:
Online Access:http://irep.iium.edu.my/29641/
http://irep.iium.edu.my/29641/
http://irep.iium.edu.my/29641/
http://irep.iium.edu.my/29641/1/The_Multistage_Adomian_decomposition_method_for_solving_Chaotic_L%C3%BC_System.pdf
Description
Summary:In this paper, a numerical scheme based on adaption of standard Adomian Decomposition Method (ADM) is applied to the chaotic Lü system. Then, the standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the standard ADM and the fourth-order Runge-Kutta method (RK4) is made in order to prove that MADM is the reliable method for nonlinear problems.