Numerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference method

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dc.authoridAmirali, Ilhame/0000-0002-5103-8856;
dc.contributor.authorFedakar, Burcu
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2025-10-11T20:48:37Z
dc.date.available2025-10-11T20:48:37Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis work deals with the initial-value problem for a second-order neutral Volterra integrodifferential equation. First, we give the stability inequality indicating 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. In support of theoretical results, numerical results are performed by employing the proposed numerical technique.en_US
dc.identifier.doi10.1016/j.cam.2024.116371
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-85209098713en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2024.116371
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22015
dc.identifier.volume459en_US
dc.identifier.wosWOS:001359446300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal of Computationaland Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectNeutral Volterra integro-differential equationen_US
dc.subjectFinite difference schemeen_US
dc.subjectUniform convergenceen_US
dc.subjectError analysisen_US
dc.titleNumerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference methoden_US
dc.typeArticleen_US

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