An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

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dc.authoridDurmaz, Muhammet Enes/0000-0002-6216-1032
dc.authorwosidDurmaz, Muhammet Enes/AAA-4251-2021
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2023-07-26T11:54:54Z
dc.date.available2023-07-26T11:54:54Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference approach is applied using a composite trapezoidal rule in both; in the integral part of equation and in the initial condition. The proposed technique acquires a uniform second-order convergence in respect to perturbation parameter. Further provided the numerical results to support the theoretical estimates.en_US
dc.identifier.doi10.1007/s12190-022-01757-4
dc.identifier.endpage528en_US
dc.identifier.issn1598-5865
dc.identifier.issn1865-2085
dc.identifier.issue1en_US
dc.identifier.pmid35698573en_US
dc.identifier.scopus2-s2.0-85131585126en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage505en_US
dc.identifier.urihttps://doi.org/10.1007/s12190-022-01757-4
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12951
dc.identifier.volume69en_US
dc.identifier.wosWOS:000808410800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAmirali, Ilhame
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofJournal of Applied Mathematics and Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectFinite Difference Scheme; Fredholm Integro-Differential Equation; Integral Boundary Condition; Shishkin Mesh; Singular Perturbation; Uniform Convergenceen_US
dc.titleAn efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary conditionen_US
dc.typeArticleen_US

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