A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation

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dc.contributor.authorAmirali, Ilhame
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2025-10-11T20:48:47Z
dc.date.available2025-10-11T20:48:47Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem numerically, we have established a finite difference scheme on a uniform mesh using the composite trapezoidal formula. Furthermore, it has been proven that this presented method is second-order convergent in the discrete maximum norm. To support the theoretical basis of this proposed approach, numerical results are presented.en_US
dc.identifier.doi10.1007/s00009-024-02746-6
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85206947377en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00009-024-02746-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22106
dc.identifier.volume21en_US
dc.identifier.wosWOS:001335070200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectFredholm integro-differential equationen_US
dc.subjectfinite difference methoden_US
dc.subjecterror estimateen_US
dc.subjectuniform convergenceen_US
dc.titleA Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equationen_US
dc.typeArticleen_US

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