Hybrid numeric-analytic method for solving chaotic 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, NurIsnida, Chowdhury, Md. Sazzad Hossien, Asrar, Waqar
Format: Conference or Workshop Item
Language:English
Published: 2013
Subjects:
Online Access:http://irep.iium.edu.my/29530/1/sazzad_IRIIE_2013.pdf
http://irep.iium.edu.my/29530/
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
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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