A second-order numerical method to the third order neutral Volterra integro-differential equations

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dc.contributor.authorAmirali, Ilhame
dc.contributor.authorDag, Damla
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-07-01T11:39:37Z
dc.date.available2026-07-01T11:39:37Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this study, a second-order numerical method is proposed for solving a third-order neutral type Volterra integro-differential equation (NVIDE). The proposed method is based on finite difference approximations for the differential terms and a suitable quadrature rule for the integral term. The method is constructed on a uniform mesh and is shown to achieve second-order accuracy. Stability and convergence analyses are carried out under appropriate assumptions. A numerical experiment is presented to verify the efficiency, accuracy, and theoretical order of convergence of the proposed scheme.
dc.identifier.doi10.1186/s13661-026-02259-z
dc.identifier.issn1687-2770
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105035887221
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/s13661-026-02259-z
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23379
dc.identifier.volume2026
dc.identifier.wosWOS:001742408400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subject[Keyword Not Available]
dc.titleA second-order numerical method to the third order neutral Volterra integro-differential equations
dc.typeArticle

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