THE GENERALIZED TIME FRACTIONAL GARDNER EQUATION VIA NUMERICAL MESHLESS COLLOCATION METHOD

dc.contributor.authorMehnaz, Shakeel
dc.contributor.authorKhan, Muhammad Nawas
dc.contributor.authorAhmad, Imtiaz
dc.contributor.authorAbdel-Khalek, Sayed
dc.contributor.authorAlghamdi, Ahmed Mohammed
dc.contributor.authorİnç, Mustafa
dc.date.accessioned2026-08-12T17:07:09Z
dc.date.issued2022
dc.departmentFırat Üniversitesi
dc.description.abstractIn this study, the meshless collocation approach is used to determine the numerical solution the generalized time-fractional Gardner equation. The Crank-Nicolson technique is used to approximate space derivatives, whereas the Caputo derivative of fractional order is used to approximate the first order time fractional derivative. The numerical solutions, which show the method's efficacy and accuracy, are provided and discussed. The numerical solution shows that our method is effective in producing extremely accurate results.
dc.description.sponsorshipTaif University, Taif, Saudi Arabia [TURSP-2020/154]
dc.description.sponsorshipTaif University Researchers Supporting Project No. (TURSP-2020/154), Taif University, Taif, Saudi Arabia.
dc.identifier.doi10.2298/TSCI22S1469M
dc.identifier.endpage474
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.orcid0000-0002-4023-3293
dc.identifier.orcid0000-0002-9794-554X
dc.identifier.orcid0000-0001-6447-6989
dc.identifier.orcid0000-0001-7644-5039
dc.identifier.orcid0000-0002-6110-9726
dc.identifier.scopus2-s2.0-85147041364
dc.identifier.scopusqualityQ3
dc.identifier.startpage469
dc.identifier.urihttps://doi.org/10.2298/TSCI22S1469M
dc.identifier.urihttps://hdl.handle.net/11508/49540
dc.identifier.volume26
dc.identifier.wosWOS:000916468800044
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherVinca Inst Nuclear Sci
dc.relation.ispartofThermal Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjecttime-fractional Gardner equation
dc.subjectCrank-Nicolson scheme
dc.subjectradial basis functions
dc.subjectCaputo fractional derivative
dc.titleTHE GENERALIZED TIME FRACTIONAL GARDNER EQUATION VIA NUMERICAL MESHLESS COLLOCATION METHOD
dc.typeArticle

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