Optimal Variational Method for Truly Nonlinear Oscillators
The Optimal Variational Method (OVM) is introduced and applied for calculating approximate periodic solutions of “truly nonlinear oscillators”. The main advantage of this procedure consists in that it provides a convenient way to control the convergence of approximate solutions in a very rigorous wa...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/620267 |
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| author | Vasile Marinca Nicolae Herişanu |
| author_facet | Vasile Marinca Nicolae Herişanu |
| author_sort | Vasile Marinca |
| collection | DOAJ |
| description | The Optimal Variational Method (OVM) is introduced and applied for calculating approximate periodic solutions of “truly nonlinear oscillators”. The main advantage of this procedure consists in that it provides a convenient way to control the convergence of approximate solutions in a very rigorous way and allows adjustment of convergence regions where necessary. This approach does not depend upon any small or large parameters. A very good agreement was found between approximate and numerical solution, which proves that OVM is very efficient and accurate. |
| format | Article |
| id | doaj-art-04f77bd83a314194b5e401470cc5afd9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-04f77bd83a314194b5e401470cc5afd92025-02-03T01:25:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/620267620267Optimal Variational Method for Truly Nonlinear OscillatorsVasile Marinca0Nicolae Herişanu1Faculty of Mechanical Engineering, “Politehnica” University of Timişoara, Bd. M. Viteazu, 1, 300222 Timişoara, RomaniaFaculty of Mechanical Engineering, “Politehnica” University of Timişoara, Bd. M. Viteazu, 1, 300222 Timişoara, RomaniaThe Optimal Variational Method (OVM) is introduced and applied for calculating approximate periodic solutions of “truly nonlinear oscillators”. The main advantage of this procedure consists in that it provides a convenient way to control the convergence of approximate solutions in a very rigorous way and allows adjustment of convergence regions where necessary. This approach does not depend upon any small or large parameters. A very good agreement was found between approximate and numerical solution, which proves that OVM is very efficient and accurate.http://dx.doi.org/10.1155/2013/620267 |
| spellingShingle | Vasile Marinca Nicolae Herişanu Optimal Variational Method for Truly Nonlinear Oscillators Journal of Applied Mathematics |
| title | Optimal Variational Method for Truly Nonlinear Oscillators |
| title_full | Optimal Variational Method for Truly Nonlinear Oscillators |
| title_fullStr | Optimal Variational Method for Truly Nonlinear Oscillators |
| title_full_unstemmed | Optimal Variational Method for Truly Nonlinear Oscillators |
| title_short | Optimal Variational Method for Truly Nonlinear Oscillators |
| title_sort | optimal variational method for truly nonlinear oscillators |
| url | http://dx.doi.org/10.1155/2013/620267 |
| work_keys_str_mv | AT vasilemarinca optimalvariationalmethodfortrulynonlinearoscillators AT nicolaeherisanu optimalvariationalmethodfortrulynonlinearoscillators |