First-order numerical method for the singularly perturbed nonlinear Fredholm integro-differential equation with integral boundary condition

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dc.authorscopusid56082815700en_US
dc.authorscopusid57218399879en_US
dc.authorscopusid57222136694en_US
dc.authorscopusid6506398616en_US
dc.contributor.authorAmirali, I.
dc.contributor.authorDurmaz, M.E.
dc.contributor.authorAcar, H.
dc.contributor.authorAmiraliyev, G.M.
dc.date.accessioned2024-08-23T16:07:35Z
dc.date.available2024-08-23T16:07:35Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description2nd International Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, MMSC 2022 -- 4 October 2022 through 7 October 2022 -- Virtual, Online -- 189205en_US
dc.description.abstractIn this work, we consider first-order singularly perturbed quasilinear Fredholm integro-differential equation with integral boundary condition. Building a numerical strategy with uniform ?-parameter convergence is our goal. With the use of exponential basis functions, quadrature interpolation rules and the method of integral identities, a fitted difference scheme is constructed and examined. The weight and remainder term are both expressed in integral form. It is shown that the method exhibits uniform first-order convergence of the perturbation parameter. Error estimates for the approximation solution are established and a numerical example is given to validate the theoretical findings. © Published under licence by IOP Publishing Ltd.en_US
dc.identifier.doi10.1088/1742-6596/2514/1/012003
dc.identifier.issn1742-6588
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85164254131en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1088/1742-6596/2514/1/012003
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14741
dc.identifier.volume2514en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute of Physicsen_US
dc.relation.ispartofJournal of Physics: Conference Seriesen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBoundary conditionsen_US
dc.subjectFredholm integral equationsen_US
dc.subjectIntegrodifferential equationsen_US
dc.subjectNonlinear equationsen_US
dc.subjectDifference schemesen_US
dc.subjectExponential basis functionsen_US
dc.subjectFirst orderen_US
dc.subjectFredholm integro-differential equationsen_US
dc.subjectIntegral boundary conditionsen_US
dc.subjectIntegral identitiesen_US
dc.subjectNumerical strategiesen_US
dc.subjectParameter convergenceen_US
dc.subjectQuasi-linearen_US
dc.subjectSingularly perturbeden_US
dc.subjectNumerical methodsen_US
dc.titleFirst-order numerical method for the singularly perturbed nonlinear Fredholm integro-differential equation with integral boundary conditionen_US
dc.typeConference Objecten_US

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