He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective
The variational iteration method (VIM) for determining periodic solutions of non-linear jerk equations involving third-order time-derivative is presented. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. We propose first-orde...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-00749 |
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| _version_ | 1832549338403831808 |
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| author | Behrouz Raftari |
| author_facet | Behrouz Raftari |
| author_sort | Behrouz Raftari |
| collection | DOAJ |
| description | The variational iteration method (VIM) for determining periodic solutions of non-linear jerk equations involving third-order time-derivative is presented. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. We propose first-order approximate VIM solution for this equation and we compare this solution with the solution obtained by harmonic balance method. |
| format | Article |
| id | doaj-art-de16cf2593cc46dc8bfd3fc1b65f7ac2 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-de16cf2593cc46dc8bfd3fc1b65f7ac22025-02-03T06:11:41ZengWileyShock and Vibration1070-96221875-92032013-01-0120235135610.3233/SAV-2012-00749He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but EffectiveBehrouz Raftari0Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, IranThe variational iteration method (VIM) for determining periodic solutions of non-linear jerk equations involving third-order time-derivative is presented. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. We propose first-order approximate VIM solution for this equation and we compare this solution with the solution obtained by harmonic balance method.http://dx.doi.org/10.3233/SAV-2012-00749 |
| spellingShingle | Behrouz Raftari He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective Shock and Vibration |
| title | He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective |
| title_full | He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective |
| title_fullStr | He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective |
| title_full_unstemmed | He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective |
| title_short | He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective |
| title_sort | he s variational iteration method for nonlinear jerk equations simple but effective |
| url | http://dx.doi.org/10.3233/SAV-2012-00749 |
| work_keys_str_mv | AT behrouzraftari hesvariationaliterationmethodfornonlinearjerkequationssimplebuteffective |