On the second-order neutral Volterra integro-differential equation and its numerical solution

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dc.authoridAmirali, Ilhame/0000-0002-5103-8856en_US
dc.authorscopusid56082815700en_US
dc.authorscopusid57441251100en_US
dc.authorscopusid6506398616en_US
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorFedakar, Burcu
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2024-08-23T16:04:57Z
dc.date.available2024-08-23T16:04:57Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we consider an initial-value problem for a second-order neutral Volterra integrodifferential equation. First, we give the stability inequality indicating the stability of the problem with respect to the right -side and initial conditions. Further, we develop a finite difference method that uses for differential part second difference derivative, for the integral part appropriate composite trapezoidal and midpoint rectangle rules followed by second-order accurate difference quantities at intermediate points. Error estimate for the approximate solution is established, which shows the second-order accuracy. Finally, the numerical experiments are presented confirming the accuracy of the proposed scheme.en_US
dc.identifier.doi10.1016/j.amc.2024.128765
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-85192096095en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2024.128765
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14426
dc.identifier.volume476en_US
dc.identifier.wosWOS:001238509900001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNeutal Volterra integro-differential equationen_US
dc.subjectStability bounden_US
dc.subjectDifference schemeen_US
dc.subjectError analysisen_US
dc.subjectConvergence Analysisen_US
dc.subjectMultipoint Problemsen_US
dc.subjectCollocation Methoden_US
dc.titleOn the second-order neutral Volterra integro-differential equation and its numerical solutionen_US
dc.typeArticleen_US

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