Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method

dc.authoridDurmaz, Muhammet Enes/0000-0002-6216-1032
dc.authorwosidDurmaz, Muhammet Enes/AAA-4251-2021
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorÇakır, Musa
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2023-07-26T11:54:08Z
dc.date.available2023-07-26T11:54:08Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis work presents a computational approximate to solve singularly perturbed Fredholm integro-differential equation with the reduced second type Fredholm equation. This problem is discretized by a finite difference approximate, which generates second-order uniformly convergent numerical approximations to the solution. Parameter-uniform approximations are generated using Shishkin type meshes. The performance of the numerical scheme is tested which supports the effectiveness of the technique. (c) 2022 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cam.2022.114327
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-85129469238en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2022.114327
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12739
dc.identifier.volume412en_US
dc.identifier.wosWOS:000829826200016en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAmirali, Ilhame
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectFredholm Integro-Differential Equation; Singular Perturbation; Finite Difference Methods; Shishkin Mesh; Uniform Convergenceen_US
dc.subjectConvergence Analysisen_US
dc.titleNumerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference methoden_US
dc.typeArticleen_US

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