Fibonacci Collocation Method for Solving a Class of Nonlinear Differential Equations

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dc.authorscopusid56027637500
dc.authorscopusid57201807541
dc.contributor.authorÇakmak, Musa
dc.contributor.authorAlkan, Sertan
dc.date.accessioned2024-09-19T15:47:14Z
dc.date.available2024-09-19T15:47:14Z
dc.date.issued2023
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIn this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear differential equations with initial conditions. The problem is firstly reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in literature. © MatDer.en_US
dc.identifier.doi10.47000/tjmcs.960168
dc.identifier.endpage53en_US
dc.identifier.issn2148-1830
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85202578331en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage42en_US
dc.identifier.trdizinid1184096en_US
dc.identifier.urihttps://doi.org/10.47000/tjmcs.960168
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1184096
dc.identifier.urihttps://hdl.handle.net/20.500.12483/15061
dc.identifier.volume15en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherAssociation of Mathematicians (MATDER)en_US
dc.relation.ispartofTurkish Journal of Mathematics and Computer Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFibonacci collocation methoden_US
dc.subjectinitial value problemsen_US
dc.subjectnonlinear differential equationsen_US
dc.titleFibonacci Collocation Method for Solving a Class of Nonlinear Differential Equationsen_US
dc.typeArticleen_US

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