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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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
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spelling 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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle 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
first_indexed 2023-09-18T20:43:32Z
last_indexed 2023-09-18T20:43:32Z
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