Fedakar, BurcuAmirali, IlhameDurmaz, Muhammet EnesAmiraliyev, Gabil M.2025-10-112025-10-1120250377-04271879-1778https://doi.org/10.1016/j.cam.2024.116371https://hdl.handle.net/20.500.12684/22015This 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.en10.1016/j.cam.2024.116371info:eu-repo/semantics/closedAccessNeutral Volterra integro-differential equationFinite difference schemeUniform convergenceError analysisArticle4592-s2.0-85209098713WOS:001359446300001Q1Q1