Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation
In this research paper, we study a semi analytical technique to solve the nonlinear partial differential equations. This technique is good combination of homotopy analysis method with Kharrat-Toma transform. Also, we present the numerical solution of nonlinear fractional coupled Whitham-Broer-Kaup e...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824010858 |
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| author | Jagdev Singh Arpita Gupta Dumitru Baleanu |
| author_facet | Jagdev Singh Arpita Gupta Dumitru Baleanu |
| author_sort | Jagdev Singh |
| collection | DOAJ |
| description | In this research paper, we study a semi analytical technique to solve the nonlinear partial differential equations. This technique is good combination of homotopy analysis method with Kharrat-Toma transform. Also, we present the numerical solution of nonlinear fractional coupled Whitham-Broer-Kaup equation using studied technique. The Whitham-Broer-Kaup model is broadly considered to study the tsunami wave dynamics under gravity. The regularized version of Hilfer-Prabhakar fractional derivative is used to model the problem. Some qualitative properties, existence and uniqueness of the considered model and its solution are also discussed.The obtained solutions are presented graphically to show the efficiency of studied technique. Error analysis tables are also given to demonstrate the accuracy of obtained results. |
| format | Article |
| id | doaj-art-6af9fb6d9cb64baba85d41e1cb97018f |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-6af9fb6d9cb64baba85d41e1cb97018f2025-01-09T06:13:16ZengElsevierAlexandria Engineering Journal1110-01682025-01-01110613628Computational analysis for fractional model of coupled Whitham-Broer-Kaup equationJagdev Singh0Arpita Gupta1Dumitru Baleanu2Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India; Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul, 02447, Korea; Corresponding author at: Department of Mathematics, JECRC University, Jaipur, Rajasthan 303905, India.Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, IndiaDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonIn this research paper, we study a semi analytical technique to solve the nonlinear partial differential equations. This technique is good combination of homotopy analysis method with Kharrat-Toma transform. Also, we present the numerical solution of nonlinear fractional coupled Whitham-Broer-Kaup equation using studied technique. The Whitham-Broer-Kaup model is broadly considered to study the tsunami wave dynamics under gravity. The regularized version of Hilfer-Prabhakar fractional derivative is used to model the problem. Some qualitative properties, existence and uniqueness of the considered model and its solution are also discussed.The obtained solutions are presented graphically to show the efficiency of studied technique. Error analysis tables are also given to demonstrate the accuracy of obtained results.http://www.sciencedirect.com/science/article/pii/S1110016824010858Whitham-Broer-Kaup equationRegularized version of Hilfer-Prabhakar derivativeKharrat-Toma transform |
| spellingShingle | Jagdev Singh Arpita Gupta Dumitru Baleanu Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation Alexandria Engineering Journal Whitham-Broer-Kaup equation Regularized version of Hilfer-Prabhakar derivative Kharrat-Toma transform |
| title | Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation |
| title_full | Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation |
| title_fullStr | Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation |
| title_full_unstemmed | Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation |
| title_short | Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation |
| title_sort | computational analysis for fractional model of coupled whitham broer kaup equation |
| topic | Whitham-Broer-Kaup equation Regularized version of Hilfer-Prabhakar derivative Kharrat-Toma transform |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824010858 |
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