A Computational Scheme for the Numerical Results of Time-Fractional Degasperis-Procesi and Camassa-Holm Models

dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridJafari, Hossein/0000-0001-6807-6675
dc.authoridNadeem, Muhammad/0000-0002-9349-4729
dc.contributor.authorNadeem, Muhammad
dc.contributor.authorJafari, Hossein
dc.contributor.authorAkgul, Ali
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:33:46Z
dc.date.available2024-12-24T19:33:46Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThis 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.
dc.description.sponsorshipBasque Government [IT1155-22]
dc.description.sponsorshipThis research funded by Basque Government through Grant IT1155-22.
dc.identifier.doi10.3390/sym14122532
dc.identifier.issn2073-8994
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85144894037
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym14122532
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8283
dc.identifier.volume14
dc.identifier.wosWOS:000904413200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectLaplace transform
dc.subjecthomotopy perturbation method
dc.subjectmDP and mCH models
dc.subjectseries solution
dc.titleA Computational Scheme for the Numerical Results of Time-Fractional Degasperis-Procesi and Camassa-Holm Models
dc.typeArticle

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