Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay

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dc.contributor.authorAcar, H.
dc.contributor.authorAmirali, I.
dc.contributor.authorDurmaz, M. E.
dc.contributor.authorAmiraliyev, G. M.
dc.date.accessioned2025-10-11T20:48:12Z
dc.date.available2025-10-11T20:48:12Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe aim of this paper is to introduce a numerical method for advanced Volterra delay integro-differential equation with initial condition. A finite difference scheme on a uniform mesh using the trapezoidal formula is developed to numerically solve this problem. Additionally, demonstrated that this approach yields second-order convergence in the discrete maximum norm. The proposed method is validated through the presentation of numerical results.en_US
dc.identifier.doi10.1134/S0965542525700149
dc.identifier.endpage710en_US
dc.identifier.issn0965-5425
dc.identifier.issn1555-6662
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-105008437417en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage698en_US
dc.identifier.urihttps://doi.org/10.1134/S0965542525700149
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21802
dc.identifier.volume65en_US
dc.identifier.wosWOS:001510569800008en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPleiades Publishing Ltden_US
dc.relation.ispartofComputational Mathematicsand Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectadvanced Volterra integro-differential equation with delayen_US
dc.subjectfinite difference schemeen_US
dc.subjectuniform convergenceen_US
dc.subjecterror estimateen_US
dc.titleFinite Difference Method for Advanced Volterra Integro-Differential Equation with Delayen_US
dc.typeArticleen_US

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