A step variational iteration method for solving non-chaotic and chaotic systems
In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non–chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2013
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| Online Access: | http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf |
| _version_ | 1848811004213854208 |
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| author | Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K. |
| author_facet | Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K. |
| author_sort | Yulita Molliq, R |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non–chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional for the problems. The SVIM yields a step analytical solution of the form of a rapidly convergent infinite power series with easily computable terms and obtain a good approximate solution for larger intervals. The accuracy of the presented solution obtained is in an excellent agreement with the previously published solutions. |
| first_indexed | 2025-11-14T23:39:30Z |
| format | Article |
| id | oai:generic.eprints.org:5978 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:39:30Z |
| publishDate | 2013 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:59782016-12-14T06:40:00Z http://journalarticle.ukm.my/5978/ A step variational iteration method for solving non-chaotic and chaotic systems Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K. In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non–chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional for the problems. The SVIM yields a step analytical solution of the form of a rapidly convergent infinite power series with easily computable terms and obtain a good approximate solution for larger intervals. The accuracy of the presented solution obtained is in an excellent agreement with the previously published solutions. Universiti Kebangsaan Malaysia 2013-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf Yulita Molliq, R and Noorani, M.S.M. and Ahmad, R.R. and Alomari, A.K. (2013) A step variational iteration method for solving non-chaotic and chaotic systems. Sains Malaysiana, 42 (3). 347 -358. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K. A step variational iteration method for solving non-chaotic and chaotic systems |
| title | A step variational iteration method for solving non-chaotic and chaotic systems |
| title_full | A step variational iteration method for solving non-chaotic and chaotic systems |
| title_fullStr | A step variational iteration method for solving non-chaotic and chaotic systems |
| title_full_unstemmed | A step variational iteration method for solving non-chaotic and chaotic systems |
| title_short | A step variational iteration method for solving non-chaotic and chaotic systems |
| title_sort | step variational iteration method for solving non-chaotic and chaotic systems |
| url | http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf |