A modification of He’s variational approach using the least square method to nonlinear oscillators
In this paper, we apply the global error minimization method to nonlinear oscillators with fractional terms for determining the first- and second-order approximate frequencies and solutions. The estimation problem is transformed into a minimization problem which leads to a simple yet precise scheme...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2019-12-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348419828222 |
| _version_ | 1818133132452298752 |
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| author | Muhammad Shoaib Arif Yasir Nawaz Mairaj Bibi Rabia Fayyaz Mehvish Naz |
| author_facet | Muhammad Shoaib Arif Yasir Nawaz Mairaj Bibi Rabia Fayyaz Mehvish Naz |
| author_sort | Muhammad Shoaib Arif |
| collection | DOAJ |
| description | In this paper, we apply the global error minimization method to nonlinear oscillators with fractional terms for determining the first- and second-order approximate frequencies and solutions. The estimation problem is transformed into a minimization problem which leads to a simple yet precise scheme for finding the frequency of oscillation and the solution of the ordinary differential equation. |
| first_indexed | 2024-12-11T08:47:52Z |
| format | Article |
| id | doaj.art-312b70f8c7a4462b80be4a35dee17afc |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-12-11T08:47:52Z |
| publishDate | 2019-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-312b70f8c7a4462b80be4a35dee17afc2022-12-22T01:14:06ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348419828222A modification of He’s variational approach using the least square method to nonlinear oscillatorsMuhammad Shoaib ArifYasir NawazMairaj BibiRabia FayyazMehvish NazIn this paper, we apply the global error minimization method to nonlinear oscillators with fractional terms for determining the first- and second-order approximate frequencies and solutions. The estimation problem is transformed into a minimization problem which leads to a simple yet precise scheme for finding the frequency of oscillation and the solution of the ordinary differential equation.https://doi.org/10.1177/1461348419828222 |
| spellingShingle | Muhammad Shoaib Arif Yasir Nawaz Mairaj Bibi Rabia Fayyaz Mehvish Naz A modification of He’s variational approach using the least square method to nonlinear oscillators Journal of Low Frequency Noise, Vibration and Active Control |
| title | A modification of He’s variational approach using the least square method to nonlinear oscillators |
| title_full | A modification of He’s variational approach using the least square method to nonlinear oscillators |
| title_fullStr | A modification of He’s variational approach using the least square method to nonlinear oscillators |
| title_full_unstemmed | A modification of He’s variational approach using the least square method to nonlinear oscillators |
| title_short | A modification of He’s variational approach using the least square method to nonlinear oscillators |
| title_sort | modification of he s variational approach using the least square method to nonlinear oscillators |
| url | https://doi.org/10.1177/1461348419828222 |
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