A Second-Order Post-processing Technique for Singularly Perturbed Volterra Integro-differential Equations

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dc.contributor.authorPanda, Abhilipsa
dc.contributor.authorMohapatra, Jugal
dc.contributor.authorAmirali, Ilhame
dc.date.accessioned2021-12-01T18:49:00Z
dc.date.available2021-12-01T18:49:00Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, a singularly perturbed Volterra integro- differential equation is being surveyed. On a piecewise-uniform Shishkin mesh, a fitted mesh finite difference approach is applied using a composite trapezoidal rule in the case of integral component and a finite difference operator for the derivative component. The proposed technique acquires a uniform convergence in accordance with the perturbation parameter. To improve the accuracy of the computed solution, an extrapolation, specifically Richardson extrapolation, is used measured in the discrete maximum norm and almost second-order convergence is attained. Further numerical results are provided to assist the theoretical estimates.en_US
dc.identifier.doi10.1007/s00009-021-01873-8
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85115147823en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00009-021-01873-8
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10647
dc.identifier.volume18en_US
dc.identifier.wosWOS:000697079500001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectIntegro-differential equationen_US
dc.subjectcomposite trapezoidal ruleen_US
dc.subjectpost-processing techniqueen_US
dc.subjectuniform convergenceen_US
dc.subjectNumerical-Solutionen_US
dc.subjectDifference Methoden_US
dc.titleA Second-Order Post-processing Technique for Singularly Perturbed Volterra Integro-differential Equationsen_US
dc.typeArticleen_US

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