A second-order finite difference method for fourth-order neutral Volterra integro-differential equation

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dc.contributor.authorAmirali, Ilhame
dc.contributor.authorFedakar, Burcu
dc.contributor.authorDag, Damla
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper's objective is to introduce a numerical method for solving a neutral Volterra integro-differential equation that involves fourth- and second-order derivatives. First, the stability properties of exact solution are analyzed. To solve this problem numerically, on the uniform mesh, the finite difference method, including the composite trapezoidal rule for the integral part of the equation, is used. The method has been demonstrated to be second-order convergent in the discrete maximum norm. In order to verify the efficiency of the suggested method, two numerical examples are given.en_US
dc.identifier.doi10.1186/s13661-025-02101-y
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105012178669en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-025-02101-y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21719
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001539919000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_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.titleA second-order finite difference method for fourth-order neutral Volterra integro-differential equationen_US
dc.typeArticleen_US

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