New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography
This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasma. Indeed, the main goal of this investigation is to employ a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-01-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013321001315 |
| _version_ | 1797960109153845248 |
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| author | Saima Rashid Rehana Ashraf Zakia Hammouch |
| author_facet | Saima Rashid Rehana Ashraf Zakia Hammouch |
| author_sort | Saima Rashid |
| collection | DOAJ |
| description | This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasma. Indeed, the main goal of this investigation is to employ a semi-analytical method based on the homotopy perturbation transform method (HPTM) to obtain the numerical findings of nonlinear dispersive and fifth order KdV models for investigating the behaviour of magneto-acoustic waves in plasma via fuzziness. This approach is connected with the fuzzy generalized integral transform and HPTM. Besides that, two novel results for fuzzy generalized integral transformation concerning fuzzy partial gH-derivatives are presented. Several illustrative examples are illustrated to show the effectiveness and supremacy of the proposed method. Furthermore, 2D and 3D simulations depict the comparison analysis between two fractional derivative operators (Caputo and Atangana-Baleanu fractional derivative operators in the Caputo sense) under generalized gH-differentiability. The projected method (GHPTM) demonstrates a diverse spectrum of applications for dealing with nonlinear wave equations in scientific domains. The current work, as a novel use of GHPTM, demonstrates some key differences from existing similar methods. |
| first_indexed | 2024-04-11T00:42:30Z |
| format | Article |
| id | doaj.art-5f01746d60b7462a9b0e69a7b9537abd |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-04-11T00:42:30Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-5f01746d60b7462a9b0e69a7b9537abd2023-01-06T04:17:34ZengElsevierJournal of Ocean Engineering and Science2468-01332023-01-01815578New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanographySaima Rashid0Rehana Ashraf1Zakia Hammouch2Department of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematis, Lahore College for Women University, Lahore, PakistanCorresponding author.; Division of Applied Mathematics, Thu Dau Mot University Binh Duong Province, Vietnam; Department of Medical Research, China Medical University Hospital, Taichung, Taiwan; Department of Sciences, Ecole Normal Superieure, Moulay Ismail University of Meknes, 50000 MoroccoThis paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasma. Indeed, the main goal of this investigation is to employ a semi-analytical method based on the homotopy perturbation transform method (HPTM) to obtain the numerical findings of nonlinear dispersive and fifth order KdV models for investigating the behaviour of magneto-acoustic waves in plasma via fuzziness. This approach is connected with the fuzzy generalized integral transform and HPTM. Besides that, two novel results for fuzzy generalized integral transformation concerning fuzzy partial gH-derivatives are presented. Several illustrative examples are illustrated to show the effectiveness and supremacy of the proposed method. Furthermore, 2D and 3D simulations depict the comparison analysis between two fractional derivative operators (Caputo and Atangana-Baleanu fractional derivative operators in the Caputo sense) under generalized gH-differentiability. The projected method (GHPTM) demonstrates a diverse spectrum of applications for dealing with nonlinear wave equations in scientific domains. The current work, as a novel use of GHPTM, demonstrates some key differences from existing similar methods.http://www.sciencedirect.com/science/article/pii/S246801332100131526A5126A3326D0726D1026D15 |
| spellingShingle | Saima Rashid Rehana Ashraf Zakia Hammouch New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography Journal of Ocean Engineering and Science 26A51 26A33 26D07 26D10 26D15 |
| title | New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography |
| title_full | New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography |
| title_fullStr | New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography |
| title_full_unstemmed | New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography |
| title_short | New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography |
| title_sort | new generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography |
| topic | 26A51 26A33 26D07 26D10 26D15 |
| url | http://www.sciencedirect.com/science/article/pii/S2468013321001315 |
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