Analytical approximations for a conservative nonlinear singular oscillator in plasma physics
A modified variational approach and the coupled homotopy perturbation method with variational formulation are exerted to obtain periodic solutions of a conservative nonlinear singular oscillator in plasma physics. The frequency–amplitude relations for the oscillator which the restoring force is inve...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2012-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X12000119 |
| _version_ | 1818261165553221632 |
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| author | A. Mirzabeigy M. Kalami-Yazdi A. Yildirim |
| author_facet | A. Mirzabeigy M. Kalami-Yazdi A. Yildirim |
| author_sort | A. Mirzabeigy |
| collection | DOAJ |
| description | A modified variational approach and the coupled homotopy perturbation method with variational formulation are exerted to obtain periodic solutions of a conservative nonlinear singular oscillator in plasma physics. The frequency–amplitude relations for the oscillator which the restoring force is inversely proportional to the dependent variable are achieved analytically. The approximate frequency obtained using the coupled method is more accurate than the modified variational approach and ones obtained using other approximate methods and the discrepancy between the approximate frequency using this coupled method and the exact one is lower than 0.31% for the whole range of values of oscillation amplitude. The coupled method provides a very good accuracy and is a promising technique to a lot of practical engineering and physical problems. |
| first_indexed | 2024-12-12T18:42:54Z |
| format | Article |
| id | doaj.art-7b6cbb53067b479d9616a86d99d5cb59 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-12T18:42:54Z |
| publishDate | 2012-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-7b6cbb53067b479d9616a86d99d5cb592022-12-22T00:15:35ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2012-10-0120316316610.1016/j.joems.2012.05.001Analytical approximations for a conservative nonlinear singular oscillator in plasma physicsA. Mirzabeigy0M. Kalami-Yazdi1A. Yildirim2School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, IranSchool of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, IranDepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USAA modified variational approach and the coupled homotopy perturbation method with variational formulation are exerted to obtain periodic solutions of a conservative nonlinear singular oscillator in plasma physics. The frequency–amplitude relations for the oscillator which the restoring force is inversely proportional to the dependent variable are achieved analytically. The approximate frequency obtained using the coupled method is more accurate than the modified variational approach and ones obtained using other approximate methods and the discrepancy between the approximate frequency using this coupled method and the exact one is lower than 0.31% for the whole range of values of oscillation amplitude. The coupled method provides a very good accuracy and is a promising technique to a lot of practical engineering and physical problems.http://www.sciencedirect.com/science/article/pii/S1110256X12000119Plasma physicsNonlinear singular oscillatorVariational approach |
| spellingShingle | A. Mirzabeigy M. Kalami-Yazdi A. Yildirim Analytical approximations for a conservative nonlinear singular oscillator in plasma physics Journal of the Egyptian Mathematical Society Plasma physics Nonlinear singular oscillator Variational approach |
| title | Analytical approximations for a conservative nonlinear singular oscillator in plasma physics |
| title_full | Analytical approximations for a conservative nonlinear singular oscillator in plasma physics |
| title_fullStr | Analytical approximations for a conservative nonlinear singular oscillator in plasma physics |
| title_full_unstemmed | Analytical approximations for a conservative nonlinear singular oscillator in plasma physics |
| title_short | Analytical approximations for a conservative nonlinear singular oscillator in plasma physics |
| title_sort | analytical approximations for a conservative nonlinear singular oscillator in plasma physics |
| topic | Plasma physics Nonlinear singular oscillator Variational approach |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X12000119 |
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