The solution of the Bagley-Torvik equation with the generalized Taylor collocation method

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dc.contributor.authorCenesiz, Yuecel
dc.contributor.authorKeskin, Yildiray
dc.contributor.authorKurnaz, Aydin
dc.date.accessioned2020-03-26T18:05:23Z
dc.date.available2020-03-26T18:05:23Z
dc.date.issued2010
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this paper, the Bagley-Torvik equation, which has an important role in fractional calculus, is solved by generalizing the Taylor collocation method. The proposed method has a new algorithm for solving fractional differential equations. This new method has many advantages over variety of numerical approximations for solving fractional differential equations. To assess the effectiveness and preciseness of the method, results are compared with other numerical approaches. Since the Bagley-Torvik equation represents a general form of the fractional problems, its solution can give many ideas about the solution of similar problems in fractional differential equations. (C) 2009 The Frankl in Institute. Published by Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.jfranklin.2009.10.007en_US
dc.identifier.endpage466en_US
dc.identifier.issn0016-0032en_US
dc.identifier.issn1879-2693en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage452en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.jfranklin.2009.10.007
dc.identifier.urihttps://hdl.handle.net/20.500.12395/25408
dc.identifier.volume347en_US
dc.identifier.wosWOS:000275265800005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPERGAMON-ELSEVIER SCIENCE LTDen_US
dc.relation.ispartofJOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBagley-Torvik equationen_US
dc.subjectGeneralized Taylor collocation methoden_US
dc.subjectAdomian decomposition methoden_US
dc.subjectDifferential transform methoden_US
dc.titleThe solution of the Bagley-Torvik equation with the generalized Taylor collocation methoden_US
dc.typeArticleen_US

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