A Computational Scheme for the Numerical Results of Time-Fractional Degasperis–Procesi and Camassa–Holm Models
dc.contributor.author | Nadeem, Muhammad | |
dc.contributor.author | Jafari, Hossein | |
dc.contributor.author | Akgül, Ali | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2023-01-11T16:52:45Z | |
dc.date.available | 2023-01-11T16:52:45Z | |
dc.date.issued | 2022-11-30 | |
dc.identifier.citation | Symmetry 14(12) : (2022) // Article ID 2532 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/59237 | |
dc.description.abstract | This article presents an idea of a new approach for the solitary wave solution of the modified Degasperis–Procesi (mDP) and modified Camassa–Holm (mCH) models with a time-fractional derivative. We combine Laplace transform (LT) and homotopy perturbation method (HPM) to formulate the idea of the Laplace transform homotopy perturbation method (LHPTM). This study is considered under the Caputo sense. This proposed strategy does not depend on any assumption and restriction of variables, such as in the classical perturbation method. Some numerical examples are demonstrated and their results are compared graphically in 2D and 3D distribution. This approach presents the iterations in the form of a series solutions. We also compute the absolute error to show the effective performance of this proposed scheme | es_ES |
dc.description.sponsorship | This research funded by Basque Government through Grant IT1155-22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Laplace transform | es_ES |
dc.subject | homotopy perturbation method | es_ES |
dc.subject | mDP and mCH models | es_ES |
dc.subject | series solution | es_ES |
dc.title | A Computational Scheme for the Numerical Results of Time-Fractional Degasperis–Procesi and Camassa–Holm Models | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2022-12-22T14:35:48Z | |
dc.rights.holder | © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/14/12/2532 | es_ES |
dc.identifier.doi | 10.3390/sym14122532 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).