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dc.contributor.authorÇakmak, Musa
dc.date.accessioned2020-09-07T06:52:03Z
dc.date.available2020-09-07T06:52:03Z
dc.date.issued2019en_US
dc.identifier.citationÇakmak, M. (2019). Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(3), 478-485.en_US
dc.identifier.issn1301-4048
dc.identifier.issn2147-835X
dc.identifier.urihttps://dx.doi.org/10.16984/saufenbilder.344991
dc.identifier.urihttps://hdl.handle.net/20.500.12483/3044
dc.description.abstractThe aim of this study is to provide an effective and accurate technique for solving differential equations of Lane-Emden type as initial value problems. In this study, a numerical method called Fibonacci polynomial approximation method (FPAM) establish for approximate solution of Lane-Emden type differential equations by using Fibonacci polynomials. A matrix equation can be solved depending on the reduced form of the Lane-Emden type differential equations, which is characterized by an algebraic equation system, with the matrix relations of Fibonacci polynomials and their derivatives and their unknown Fibonacci coefficients. In addition, numerical results are given by comparisons to confirm the reliability of the proposed method for Lane-Emden type differential equations.en_US
dc.language.isoengen_US
dc.publisherSakarya Üniversitesien_US
dc.relation.isversionof10.16984/saufenbilder.344991en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectFibonacci polynomialsen_US
dc.subjectFunctional differential equationsen_US
dc.subjectLane-Emden equationen_US
dc.subjectOperational matrixen_US
dc.subjectPolynomial approachen_US
dc.titleFibonacci operational matrix algorithm for solving differential equations of Lane-Emden typeen_US
dc.typearticleen_US
dc.relation.journalSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisien_US
dc.contributor.departmentYayladağı Sosyal Bilimler Meslek Yüksekokuluen_US
dc.contributor.authorID0000-0001-6791-0971en_US
dc.identifier.volume23en_US
dc.identifier.issue3en_US
dc.identifier.startpage478en_US
dc.identifier.endpage485en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US


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