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A Fully Discrete Scheme on Piecewise-Equidistant Mesh for Singularly Perturbed Delay Integro-Differential Equations

dc.authorscopusid 22133512500
dc.authorscopusid 57221502698
dc.contributor.author Cakir, Musa
dc.contributor.author Gunes, Baransel
dc.date.accessioned 2025-05-10T17:23:23Z
dc.date.available 2025-05-10T17:23:23Z
dc.date.issued 2024
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cakir, Musa; Gunes, Baransel] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye en_US
dc.description.abstract This paper chiefly takes into account the singularly perturbed delay Volterra-Fredholm integro-differential equations by numerically. In this context, firstly, priori estimates are given and a new discretization is constructed on piecewise-equidistant mesh by using interpolating quadrature rules [2] and composite integration formulas. Then, the convergence analysis and stability bounds of the presented method are discussed. Finally, numerical results are demonstrated with two test problems. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.2989/16073606.2024.2343669
dc.identifier.endpage 1933 en_US
dc.identifier.issn 1607-3606
dc.identifier.issn 1727-933X
dc.identifier.issue 9 en_US
dc.identifier.scopus 2-s2.0-85192265047
dc.identifier.scopusquality Q2
dc.identifier.startpage 1913 en_US
dc.identifier.uri https://doi.org/10.2989/16073606.2024.2343669
dc.identifier.uri https://hdl.handle.net/20.500.14720/10880
dc.identifier.volume 47 en_US
dc.identifier.wos WOS:001216117100001
dc.identifier.wosquality Q3
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Delay Differential Equation en_US
dc.subject Difference Scheme en_US
dc.subject Integro-Differential Equation en_US
dc.subject Singular Perturbation en_US
dc.subject Uniform Convergence en_US
dc.title A Fully Discrete Scheme on Piecewise-Equidistant Mesh for Singularly Perturbed Delay Integro-Differential Equations en_US
dc.type Article en_US

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