Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations
In this work, the variational iteration algorithm-I with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations. The technique has the capability of reducing the size of computational work and easily overcomes the difficulty of the perturb...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2019-12-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348418823126 |
| _version_ | 1818556101484871680 |
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| author | Hijaz Ahmad Tufail A. Khan |
| author_facet | Hijaz Ahmad Tufail A. Khan |
| author_sort | Hijaz Ahmad |
| collection | DOAJ |
| description | In this work, the variational iteration algorithm-I with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations. The technique has the capability of reducing the size of computational work and easily overcomes the difficulty of the perturbation method or Adomian polynomials. Comparison with the classic variational iteration algorithm-I (VIA-1) is carried out, showing that the modification is more efficient and reliable. |
| first_indexed | 2024-12-13T23:43:07Z |
| format | Article |
| id | doaj.art-d47cde89df754dc5b07fa56488369eb7 |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-12-13T23:43:07Z |
| publishDate | 2019-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-d47cde89df754dc5b07fa56488369eb72022-12-21T23:27:07ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348418823126Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equationsHijaz AhmadTufail A. KhanIn this work, the variational iteration algorithm-I with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations. The technique has the capability of reducing the size of computational work and easily overcomes the difficulty of the perturbation method or Adomian polynomials. Comparison with the classic variational iteration algorithm-I (VIA-1) is carried out, showing that the modification is more efficient and reliable.https://doi.org/10.1177/1461348418823126 |
| spellingShingle | Hijaz Ahmad Tufail A. Khan Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations Journal of Low Frequency Noise, Vibration and Active Control |
| title | Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations |
| title_full | Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations |
| title_fullStr | Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations |
| title_full_unstemmed | Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations |
| title_short | Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations |
| title_sort | variational iteration algorithm i with an auxiliary parameter for wave like vibration equations |
| url | https://doi.org/10.1177/1461348418823126 |
| work_keys_str_mv | AT hijazahmad variationaliterationalgorithmiwithanauxiliaryparameterforwavelikevibrationequations AT tufailakhan variationaliterationalgorithmiwithanauxiliaryparameterforwavelikevibrationequations |