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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| Format: | Article |
| Language: | English |
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IDOSI Publications
2013
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| Online Access: | 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 |
| _version_ | 1848780161903755264 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:29:17Z |
| format | Article |
| id | iium-29641 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:29:17Z |
| publishDate | 2013 |
| publisher | IDOSI Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | QA76 Computer software Razali, Nur Isnida Chowdhury, Md. Sazzad Hossien Asrar, Waqar The multistage Adomian Decomposition Method for solving chaotic Lü System |
| title | 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_short | The multistage Adomian Decomposition Method for solving chaotic Lü System |
| title_sort | multistage adomian decomposition method for solving chaotic lü system |
| topic | QA76 Computer software |
| 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 |