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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iium-296412018-06-12T00:55:39Z http://irep.iium.edu.my/29641/ The multistage Adomian Decomposition Method for solving chaotic Lü System Razali, Nur Isnida Chowdhury, Md. Sazzad Hossien Asrar, Waqar QA76 Computer software 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. IDOSI Publications 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29641/1/The_Multistage_Adomian_decomposition_method_for_solving_Chaotic_L%C3%BC_System.pdf Razali, Nur Isnida and Chowdhury, Md. Sazzad Hossien and Asrar, Waqar (2013) The multistage Adomian Decomposition Method for solving chaotic Lü System. Middle-East Journal of Scientific Research, 13. pp. 43-49. ISSN 1990-9233 http://www.idosi.org/mejsr/mejsr13(mae)13/7.pdf 10.5829/idosi.mejsr.2013.13.mae.99915 |
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QA76 Computer software Razali, Nur Isnida Chowdhury, Md. Sazzad Hossien Asrar, Waqar The multistage Adomian Decomposition Method for solving chaotic Lü System |
description |
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. |
format |
Article |
author |
Razali, Nur Isnida Chowdhury, Md. Sazzad Hossien Asrar, Waqar |
author_facet |
Razali, Nur Isnida Chowdhury, Md. Sazzad Hossien Asrar, Waqar |
author_sort |
Razali, Nur Isnida |
title |
The multistage Adomian Decomposition Method for solving chaotic Lü System |
title_short |
The multistage Adomian Decomposition Method for solving chaotic Lü System |
title_full |
The multistage Adomian Decomposition Method for solving chaotic Lü System |
title_fullStr |
The multistage Adomian Decomposition Method for solving chaotic Lü System |
title_full_unstemmed |
The multistage Adomian Decomposition Method for solving chaotic Lü System |
title_sort |
multistage adomian decomposition method for solving chaotic lü system |
publisher |
IDOSI Publications |
publishDate |
2013 |
url |
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 |
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2023-09-18T20:43:32Z |
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2023-09-18T20:43:32Z |
_version_ |
1777409523788546048 |