Two Novel Methods for Fractional Nonlinear Whitham–broer–kaup Equations Arising in Shallow Water
| dc.contributor.author | Verma, V. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Prakash, A. | |
| dc.date.accessioned | 2024-01-26T07:52:37Z | |
| dc.date.accessioned | 2025-09-18T14:09:29Z | |
| dc.date.available | 2024-01-26T07:52:37Z | |
| dc.date.available | 2025-09-18T14:09:29Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In the present paper, we investigate the approximate analytic solution of the time-fractional nonlinear coupled Whitham–Broer–Kaup equations arising in shallow water with the aid of two novel approaches namely q -homotopy analysis Sumudu transform method (q-HASTM) and Homotopy perturbation Sumudu transform method (HPSTM). Uniqueness and convergence analysis of the coupled WBK equations via q-HASTM are accessible. We applied the suggested techniques to a pair of examples, plotted the results and analyse the error, L2 error norm and L∞ error norm with q-HASTM and HPSTM. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.identifier.citation | Prakash, Amit;...et.al. (2023). "Two Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow Water", International Journal of Applied and Computational Mathematics, Vol.9, No.3. | en_US |
| dc.identifier.doi | 10.1007/s40819-023-01497-4 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issn | 2199-5796 | |
| dc.identifier.scopus | 2-s2.0-85156225324 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-023-01497-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13407 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Coupled Whitham–Broer–Kaup Equations | en_US |
| dc.subject | Homotopy Perturbation Sumudu Transform Method | en_US |
| dc.subject | Q-Homotopy Analysis Sumudu Transform Method | en_US |
| dc.title | Two Novel Methods for Fractional Nonlinear Whitham–broer–kaup Equations Arising in Shallow Water | en_US |
| dc.title | Two Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow Water | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Prakash A., Department of Mathematics, National Institute of Technology, Kurukshetra, 136119, India; Verma V., Department of Mathematics, National Institute of Technology, Kurukshetra, 136119, India; Baleanu D., Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Etimesgut, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 9 | en_US |
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| gdc.virtual.author | Baleanu, Dumitru | |
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