An algorithm for numerical solution of some nonlinear multi-dimensional parabolic partial differential equations

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dc.authoridhttps://orcid.org/0000-0003-1649-0625en_US
dc.authoridhttps://orcid.org/0000-0002-8372-2441en_US
dc.authoridhttps://orcid.org/0000-0002-2994-7201en_US
dc.contributor.authorÖzdemir, Neslihan
dc.contributor.authorSeçer, Aydın
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2023-08-12T13:07:39Z
dc.date.available2023-08-12T13:07:39Z
dc.date.issued2021en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractIn this research paper, a numerical method, named the three-step Ultraspherical wavelet collocation method, is presented for solving some nonlinear multi-dimensional parabolic partial differential equations. The method is third-order accurate in time. In this method, the three-step Taylor method is used to get the time derivative, while the Ultraspherical wavelet collocation method is used to get the space derivatives. Ultraspherical wavelets have good properties which make useful to carry out this aim. The presented method is developed for Burgers’ equation, Fisher–Kolmogorov–Petrovsky–Piscounov (Fisher–KPP) equation, and quasilinear parabolic equation. Three illustrative numerical problems are solved to demonstrate the efficiency, simplicity, and reliability of the presented method.en_US
dc.identifier.doi10.1016/j.jocs.2021.101487en_US
dc.identifier.endpage7en_US
dc.identifier.issn1877-7503
dc.identifier.issn1877-7511
dc.identifier.scopus2-s2.0-85119297082en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11363/5284
dc.identifier.urihttps://doi.org/
dc.identifier.volume56en_US
dc.identifier.wosWOS:000721366000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorÖzdemir, Neslihan
dc.language.isoenen_US
dc.publisherELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDSen_US
dc.relation.ispartofJournal of Computational Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectUltraspherical wavelets: three-step Taylor methoden_US
dc.subjectCollocation methoden_US
dc.subjectNonlinear parabolic equationsen_US
dc.titleAn algorithm for numerical solution of some nonlinear multi-dimensional parabolic partial differential equationsen_US
dc.typeArticleen_US

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