Numerical solution of some fractional partial differential equations using collocation finite element method

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dc.authorscopusid55580992800
dc.authorscopusid55653611400
dc.authorscopusid36905749100
dc.authorscopusid7006187582
dc.contributor.authorUcar Y.
dc.contributor.authorYagmurlu N.M.
dc.contributor.authorTasbozan O.
dc.contributor.authorEsen A.
dc.date.accessioned2024-08-04T20:03:40Z
dc.date.available2024-08-04T20:03:40Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this work, our aim is to obtain a numerical solution to some fractional differential equations. In the solution process, we have used fractional derivatives in Caputo sense. The fundamental characteristics of the present method is the fact that it converts complex problems into those requiring the solution of algebraic ones, which is obviously more easy for computational processing. The obtained approximate values show the accuracy and suitability of the present scheme for applying a wide range of fractional partial differential equations. Finally, the error norms L2 and L? are computed and found to be sufficiently small. © 2015 NSP.en_US
dc.identifier.doi10.12785/pfda/010302
dc.identifier.endpage164en_US
dc.identifier.issn2356-9336
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85051060247en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage157en_US
dc.identifier.urihttps://doi.org/10.12785/pfda/010302
dc.identifier.urihttps://hdl.handle.net/11616/92008
dc.identifier.volume1en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherNatural Sciences Publishingen_US
dc.relation.ispartofProgress in Fractional Differentiation and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCollocation methoden_US
dc.subjectCubic B-splineen_US
dc.subjectFinite element methoden_US
dc.subjectFractional differential equationen_US
dc.titleNumerical solution of some fractional partial differential equations using collocation finite element methoden_US
dc.typeArticleen_US

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