A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation

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dc.authoridDurmaz, Muhammet Enes/0000-0002-6216-1032en_US
dc.authoridAmirali, Ilhame/0000-0002-5103-8856en_US
dc.authorscopusid57218399879en_US
dc.authorscopusid56082815700en_US
dc.authorscopusid26026649800en_US
dc.authorscopusid6506398616en_US
dc.authorwosidDurmaz, Muhammet Enes/AAA-4251-2021en_US
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorMohapatra, Jugal
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2024-08-23T16:04:57Z
dc.date.available2024-08-23T16:04:57Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe consider a singularly perturbed problem for a nonlinear first-order Fredholm integrodifferential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the epsilon-parameter. The numerical solution of problem is discretized utilizing interpolation quadrature formulas for the differential part and the composite rectangular rule for the integral part. Error estimations for the approximate solution are established. In support of the idea, numerical examples are provided.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.apnum.2023.05.008
dc.identifier.endpage28en_US
dc.identifier.issn0168-9274
dc.identifier.issn1873-5460
dc.identifier.scopus2-s2.0-85160013794en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage17en_US
dc.identifier.urihttps://doi.org/10.1016/j.apnum.2023.05.008
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14424
dc.identifier.volume191en_US
dc.identifier.wosWOS:001011467200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofApplied Numerical Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectUniform convergenceen_US
dc.subjectFinite difference methodsen_US
dc.subjectIntegro-differential equationen_US
dc.subjectRichardson extrapolationen_US
dc.subjectSingular perturbationen_US
dc.titleA second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equationen_US
dc.typeArticleen_US

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