Amirali, IlhameFedakar, BurcuAmiraliyev, Gabil M.2024-08-232024-08-2320240096-30031873-5649https://doi.org/10.1016/j.amc.2024.128765https://hdl.handle.net/20.500.12684/14426In 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.en10.1016/j.amc.2024.128765info:eu-repo/semantics/closedAccessNeutal Volterra integro-differential equationStability boundDifference schemeError analysisConvergence AnalysisMultipoint ProblemsCollocation MethodArticle4762-s2.0-85192096095WOS:001238509900001Q1N/A