Combination of modified Lindstedt-Poincare and homotopy perturbation methods
Some strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2023-06-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484221148049 |
| _version_ | 1827940739719364608 |
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| author | M S Alam Nazmul Sharif Md Helal Uddin Molla |
| author_facet | M S Alam Nazmul Sharif Md Helal Uddin Molla |
| author_sort | M S Alam |
| collection | DOAJ |
| description | Some strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than usual homotopy perturbation methods. Some similarities and dissimilarities between the present method and other existing methods have also been discussed. |
| first_indexed | 2024-03-13T09:15:04Z |
| format | Article |
| id | doaj.art-59806b29bf184e3482658ad7341ed91d |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-03-13T09:15:04Z |
| publishDate | 2023-06-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-59806b29bf184e3482658ad7341ed91d2023-05-26T10:33:54ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462023-06-014210.1177/14613484221148049Combination of modified Lindstedt-Poincare and homotopy perturbation methodsM S AlamNazmul SharifMd Helal Uddin MollaSome strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than usual homotopy perturbation methods. Some similarities and dissimilarities between the present method and other existing methods have also been discussed.https://doi.org/10.1177/14613484221148049 |
| spellingShingle | M S Alam Nazmul Sharif Md Helal Uddin Molla Combination of modified Lindstedt-Poincare and homotopy perturbation methods Journal of Low Frequency Noise, Vibration and Active Control |
| title | Combination of modified Lindstedt-Poincare and homotopy perturbation methods |
| title_full | Combination of modified Lindstedt-Poincare and homotopy perturbation methods |
| title_fullStr | Combination of modified Lindstedt-Poincare and homotopy perturbation methods |
| title_full_unstemmed | Combination of modified Lindstedt-Poincare and homotopy perturbation methods |
| title_short | Combination of modified Lindstedt-Poincare and homotopy perturbation methods |
| title_sort | combination of modified lindstedt poincare and homotopy perturbation methods |
| url | https://doi.org/10.1177/14613484221148049 |
| work_keys_str_mv | AT msalam combinationofmodifiedlindstedtpoincareandhomotopyperturbationmethods AT nazmulsharif combinationofmodifiedlindstedtpoincareandhomotopyperturbationmethods AT mdhelaluddinmolla combinationofmodifiedlindstedtpoincareandhomotopyperturbationmethods |