Finite difference method for advanced Volterra integro-differential equation with delay

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dc.contributor.authorAcar, Hülya
dc.contributor.authorAmirali, I.
dc.contributor.authorDurmaz, M.E.
dc.contributor.authorAmiraliyev, G.M.
dc.date.accessioned2025-12-19T10:42:07Z
dc.date.available2025-12-19T10:42:07Z
dc.date.issued2025en_US
dc.departmentİstanbul Kent Üniversitesi, Fakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractThe aim of this paper is to introduce a numerical method for advanced Volterra delay inte gro-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.citationAcar, H., Amirali, I., Durmaz, M.E. et al. Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay. Comput. Math. and Math. Phys. 65(4):698–710 (2025).en_US
dc.identifier.doi10.1134/S0965542525700149
dc.identifier.endpage710en_US
dc.identifier.issn1555-6662
dc.identifier.issue4en_US
dc.identifier.orcid0000-0001-9709-4805en_US
dc.identifier.scopus2-s2.0-105008437417
dc.identifier.scopusqualityQ3
dc.identifier.startpage698en_US
dc.identifier.urihttps://link.springer.com/article/10.1134/S0965542525700149
dc.identifier.urihttps://doi.org/10.1134/S0965542525700149
dc.identifier.urihttps://hdl.handle.net/20.500.12780/1299
dc.identifier.volume65en_US
dc.identifier.wosWOS:001510569800008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAcar, Hülya
dc.language.isoenen_US
dc.publisherPleiades Publishingen_US
dc.relation.journalComputational Mathematics and Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectadvanced Volterra integroen_US
dc.subjectdifferential 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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