Numerical solution of fractional elliptic PDE's by the collocation method

dc.contributor.authorUsta, Fuat
dc.date.accessioned2020-04-30T23:19:46Z
dc.date.available2020-04-30T23:19:46Z
dc.date.issued2017
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000415903700030en_US
dc.description.abstractIn this presentation a numerical solution for the solution of fractional order of elliptic partial differential equation in R-2 is proposed. In this method we use the Radial basis functions (RBFs) method to benefit the desired properties of mesh free techniques such as no need to generate any mesh and easily applied to multi dimensions. In the numerical solution approach the RBF collocation method is used to discrete fractional derivative terms with the Gaussian basis function. Two dimensional numerical examples are presented and discussed, which conform well with the corresponding exact solutions.en_US
dc.identifier.endpage478en_US
dc.identifier.issn1932-9466
dc.identifier.issue1en_US
dc.identifier.startpage470en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3845
dc.identifier.volume12en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherPrairie View A & M Univ, Dept Mathematicsen_US
dc.relation.ispartofApplications And Applied Mathematics-An International Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConformable fractional calculusen_US
dc.subjectradial basis functionen_US
dc.subjectcollocation methoden_US
dc.titleNumerical solution of fractional elliptic PDE's by the collocation methoden_US
dc.typeArticleen_US

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