The applications of non-polynomial spline to the numerical solution for fractional differential equations

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dc.authorid0000-0003-0088-9236en_US
dc.contributor.authorK. Hamasalh, Faraidun
dc.contributor.authorHeadayat, Mizhda Abbas
dc.date.accessioned2024-07-12T20:46:59Z
dc.date.available2024-07-12T20:46:59Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper presents a computation and discuss on non-polynomial spline of fractional order to solve the differential equations with Caputo fractional derivative. Taylor series is applied to discretize the time derivative of the function. Several examples are considered to confirm the accuracy of the spline method and to show the completion of non-polynomial spline. In addition, we discuss the numerical computations provident and can be used to solve complex problems, also the results are obtained to be in a nice error estimation with known exact solutions.en_US
dc.identifier.citationK. Hamasalh, F. ve Headayat, M.A. (2021). The applications of non-polynomial spline to the numerical solution for fractional differential equations. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-8.en_US
dc.identifier.endpage8en_US
dc.identifier.isbn978-0-7354-4078-4
dc.identifier.startpage1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/5.0042319
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1929
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofFourth International Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/5.0042319en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07349
dc.subjectSpline approximationen_US
dc.subjectfractional derivativeen_US
dc.subjectconvergence analysisen_US
dc.subjecterror bounden_US
dc.titleThe applications of non-polynomial spline to the numerical solution for fractional differential equationsen_US
dc.typeConference Object
dspace.entity.typePublication

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