A robust fuzzy-fractional approach for the atmospheric internal wave model
The study of internal atmospheric waves, also known as gravity waves, which are detectable inside the fluid rather than at the fluid surface, is presented in this work. We have used the time-fractional and fuzzy-fractional techniques to solve the differential equation system representing the atmosph...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013322000250 |
| _version_ | 1827943666460655616 |
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| author | Parthkumar P. Sartanpara Ramakanta Meher |
| author_facet | Parthkumar P. Sartanpara Ramakanta Meher |
| author_sort | Parthkumar P. Sartanpara |
| collection | DOAJ |
| description | The study of internal atmospheric waves, also known as gravity waves, which are detectable inside the fluid rather than at the fluid surface, is presented in this work. We have used the time-fractional and fuzzy-fractional techniques to solve the differential equation system representing the atmospheric internal waves model. The q-Homotopy analysis Shehu transform technique (q-HAShTM) is used to solve the model. The method helps find convergent solutions since it helps solve nonlinearity, and the fractional derivative can be easily computed using the Shehu transform. Finally, the obtained solution is compared for the particular case of α=1 with the HAM solution to explain the method’s accuracy. |
| first_indexed | 2024-03-13T10:18:50Z |
| format | Article |
| id | doaj.art-74e222cce73c41b0a903ea96cc1c89b8 |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-03-13T10:18:50Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-74e222cce73c41b0a903ea96cc1c89b82023-05-21T04:35:19ZengElsevierJournal of Ocean Engineering and Science2468-01332023-06-0183308322A robust fuzzy-fractional approach for the atmospheric internal wave modelParthkumar P. Sartanpara0Ramakanta Meher1Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat 395007, IndiaCorresponding author.; Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat 395007, IndiaThe study of internal atmospheric waves, also known as gravity waves, which are detectable inside the fluid rather than at the fluid surface, is presented in this work. We have used the time-fractional and fuzzy-fractional techniques to solve the differential equation system representing the atmospheric internal waves model. The q-Homotopy analysis Shehu transform technique (q-HAShTM) is used to solve the model. The method helps find convergent solutions since it helps solve nonlinearity, and the fractional derivative can be easily computed using the Shehu transform. Finally, the obtained solution is compared for the particular case of α=1 with the HAM solution to explain the method’s accuracy.http://www.sciencedirect.com/science/article/pii/S2468013322000250Atmospheric internal waveFractional differential equationFuzzy-fractional differential equationq-Homotopy analysis Shehu transform method |
| spellingShingle | Parthkumar P. Sartanpara Ramakanta Meher A robust fuzzy-fractional approach for the atmospheric internal wave model Journal of Ocean Engineering and Science Atmospheric internal wave Fractional differential equation Fuzzy-fractional differential equation q-Homotopy analysis Shehu transform method |
| title | A robust fuzzy-fractional approach for the atmospheric internal wave model |
| title_full | A robust fuzzy-fractional approach for the atmospheric internal wave model |
| title_fullStr | A robust fuzzy-fractional approach for the atmospheric internal wave model |
| title_full_unstemmed | A robust fuzzy-fractional approach for the atmospheric internal wave model |
| title_short | A robust fuzzy-fractional approach for the atmospheric internal wave model |
| title_sort | robust fuzzy fractional approach for the atmospheric internal wave model |
| topic | Atmospheric internal wave Fractional differential equation Fuzzy-fractional differential equation q-Homotopy analysis Shehu transform method |
| url | http://www.sciencedirect.com/science/article/pii/S2468013322000250 |
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