Operational Matrix by Hermite Polynomials for Solving Nonlinear Riccati Differential Equations

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dc.contributor.authorKosunalp, Hatice Yalman
dc.contributor.authorGulsu, Mustafa
dc.date.accessioned2024-10-04T18:52:32Z
dc.date.available2024-10-04T18:52:32Z
dc.date.issued2021
dc.departmentBayburt Üniversitesien_US
dc.description.abstractThis paper studies the potential to ensure a numerical solution of nonlinear Riccati differential equations with an effective method, namely operational matrix which is derived by Hermite polynomials with the sense of Caputo derivative. In order to solve the Riccati differential equations, the complete problem is simplified with the operational matrix obtained. To achieve this goal, the proposed approach converts the fractional differential equations (FDEs) into a set of algebraic equations. We then construct a matrix with the algebraic equations and extra equations extracted from initial conditions. Therefore, we achieve the solution by solving these algebraic equations given in a matrix sense. In order to show the efficiency of the proposed idea, we show a number of illustrative examples in which the results confirm the applicability of the suggested approach.en_US
dc.identifier.endpage536en_US
dc.identifier.issn1814-0424
dc.identifier.issn1814-0432
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85099580776en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage525en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3533
dc.identifier.volume16en_US
dc.identifier.wosWOS:000661918500002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherLebanese Univen_US
dc.relation.ispartofInternational Journal of Mathematics and Computer Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional differential equationsen_US
dc.subjectCaputoen_US
dc.subjectOperational matrixen_US
dc.subjectHermiteen_US
dc.subjectRiccatien_US
dc.titleOperational Matrix by Hermite Polynomials for Solving Nonlinear Riccati Differential Equationsen_US
dc.typeArticleen_US

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