A numerical method for solving a class of systems of nonlinear Pantograph differential equations

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dc.contributor.authorCakmak, Musa
dc.contributor.authorAlkan, Sertan
dc.date.accessioned2024-09-18T20:59:22Z
dc.date.available2024-09-18T20:59:22Z
dc.date.issued2022
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIn this paper, Fibonacci collocation method is firstly used for approximately solving a class of systems of nonlinear Pantograph 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 the absolute error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in the literature. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.en_US
dc.identifier.doi10.1016/j.aej.2021.07.028
dc.identifier.endpage2661en_US
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85115020781en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2651en_US
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.07.028
dc.identifier.urihttps://hdl.handle.net/20.500.12483/12540
dc.identifier.volume61en_US
dc.identifier.wosWOS:000744581200006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectThe systems of nonlinearen_US
dc.subjectPantograph differential equationen_US
dc.subjectCollocation methoden_US
dc.subjectFibonacci polynomialsen_US
dc.titleA numerical method for solving a class of systems of nonlinear Pantograph differential equationsen_US
dc.typeArticleen_US

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