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A Numerical Comparative Study for the Singularly Perturbed Nonlinear Volterra-Fredholm Integro-Differential Equations on Layer-Adapted Meshes

dc.authorscopusid 57221502698
dc.authorscopusid 22133512500
dc.contributor.author Gunes, Baransel
dc.contributor.author Cakir, Musa
dc.date.accessioned 2025-05-10T17:34:40Z
dc.date.available 2025-05-10T17:34:40Z
dc.date.issued 2024
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Gunes, Baransel] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkiye; [Cakir, Musa] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkiye en_US
dc.description.abstract This article deals with the singularly perturbed nonlinear Volterra-Fredholm integrodifferential equations. Firstly, some priori bounds are presented. Then, the finite difference scheme is constructed on non-uniform mesh by using interpolating quadrature rules [5] and composite numerical integration formulas. The error estimates are derived in the discrete maximum norm. Finally, theoretical results are performed on two examples and they are compared for both Bakhvalov (B-type) and Shishkin (S-type) meshes. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.18514/MMN.2024.4264
dc.identifier.endpage 240 en_US
dc.identifier.issn 1787-2405
dc.identifier.issn 1787-2413
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85196080820
dc.identifier.scopusquality Q3
dc.identifier.startpage 225 en_US
dc.identifier.uri https://doi.org/10.18514/MMN.2024.4264
dc.identifier.uri https://hdl.handle.net/20.500.14720/13884
dc.identifier.volume 25 en_US
dc.identifier.wos WOS:001240590000017
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Univ Miskolc inst Math en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Bakhvalov Mesh en_US
dc.subject Error Bounds en_US
dc.subject Finite Difference Scheme en_US
dc.subject Volterra-Fredholm Integro- Differential Equation en_US
dc.subject Shishkin Mesh en_US
dc.subject Singular Perturbation en_US
dc.title A Numerical Comparative Study for the Singularly Perturbed Nonlinear Volterra-Fredholm Integro-Differential Equations on Layer-Adapted Meshes en_US
dc.type Article en_US

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