Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system
This paper concerns the implementation of variational iteration method (VIM) in solving the hyperchaotic R�ssler analytically. It is a four dimensional system of ODEs with quadratic nonlinearities. The computation was made using a newly found version called the multistage VIM (MVIM) which offers som...
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Freund Publishing House Ltd
2023
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| author | Goh S.M. Noorani M.S.N. Hashim I. Al-Sawalha M.M. |
| author2 | 25521891600 |
| author_facet | 25521891600 Goh S.M. Noorani M.S.N. Hashim I. Al-Sawalha M.M. |
| author_sort | Goh S.M. |
| building | UNITEN Library |
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| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This paper concerns the implementation of variational iteration method (VIM) in solving the hyperchaotic R�ssler analytically. It is a four dimensional system of ODEs with quadratic nonlinearities. The computation was made using a newly found version called the multistage VIM (MVIM) which offers some slight modification to the traditional VIM. Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results displaying extremely good performance by MVIM, yielding great accuracy and efficiency. It is also evident that MVIM surpasses (in terms of accuracy) its two counterparts, the Adomian decomposition method (ADM) and Differential transformation method (DTM). |
| format | Article |
| id | my.uniten.dspace-30840 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
| publisher | Freund Publishing House Ltd |
| record_format | dspace |
| spelling | my.uniten.dspace-308402023-12-29T15:54:22Z Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system Goh S.M. Noorani M.S.N. Hashim I. Al-Sawalha M.M. 25521891600 6603683028 10043682500 55664495900 Hyperchaotic R�ssler system Runge-kutta method Variational iteration method This paper concerns the implementation of variational iteration method (VIM) in solving the hyperchaotic R�ssler analytically. It is a four dimensional system of ODEs with quadratic nonlinearities. The computation was made using a newly found version called the multistage VIM (MVIM) which offers some slight modification to the traditional VIM. Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results displaying extremely good performance by MVIM, yielding great accuracy and efficiency. It is also evident that MVIM surpasses (in terms of accuracy) its two counterparts, the Adomian decomposition method (ADM) and Differential transformation method (DTM). Final 2023-12-29T07:54:22Z 2023-12-29T07:54:22Z 2009 Article 10.1515/IJNSNS.2009.10.3.363 2-s2.0-65349085485 https://www.scopus.com/inward/record.uri?eid=2-s2.0-65349085485&doi=10.1515%2fIJNSNS.2009.10.3.363&partnerID=40&md5=cc5d257369f0e27eead34e75cab92be3 https://irepository.uniten.edu.my/handle/123456789/30840 10 3 363 371 Freund Publishing House Ltd Scopus |
| spellingShingle | Hyperchaotic R�ssler system Runge-kutta method Variational iteration method Goh S.M. Noorani M.S.N. Hashim I. Al-Sawalha M.M. Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| title | Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| title_full | Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| title_fullStr | Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| title_full_unstemmed | Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| title_short | Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| title_sort | variational iteration method as a reliable treatment for the hyperchaotic r�ssler system |
| topic | Hyperchaotic R�ssler system Runge-kutta method Variational iteration method |
| url_provider | http://dspace.uniten.edu.my/ |