An approach to time fractional gas dynamics equation: Quadratic B-spline Galerkin method

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.contributor.authorEsen, A.
dc.contributor.authorTasbozan, O.
dc.date.accessioned2024-08-04T20:40:11Z
dc.date.available2024-08-04T20:40:11Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present article, a quadratic B-spline finite element Galerkin method has been used to obtain numerical solutions of the nonlinear time fractional gas dynamics equation. While the Caputo form is used for the time fractional derivative appearing in the equation, the L1 discretization formula is applied to the equation in time. A numerical example is given and the obtained results show the accuracy and efficiency of the method. Therefore, the present method can be used as an efficient alternative one to find out the numerical solutions of other both linear and nonlinear fractional differential equations available in the literature. (C) 2015 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2015.03.126
dc.identifier.endpage336en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-84928485585en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage330en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2015.03.126
dc.identifier.urihttps://hdl.handle.net/11616/96766
dc.identifier.volume261en_US
dc.identifier.wosWOS:000354398200030en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite element methoden_US
dc.subjectGalerkinen_US
dc.subjectTime fractional gas dynamics equationen_US
dc.subjectQuadratic B-splineen_US
dc.titleAn approach to time fractional gas dynamics equation: Quadratic B-spline Galerkin methoden_US
dc.typeArticleen_US

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