Fedakar, BurcuAmirali, IlhameAmiraliyev, Gabil M.2025-10-112025-10-1120260377-04271879-1778https://doi.org/10.1016/j.cam.2025.116850https://hdl.handle.net/20.500.12684/22014In this paper, we study an initial-value problem for a fourth-order neutral Volterra integrodifferential equation. First, the properties of the exact solution are analysed. Next, the problem is solved numerically using the finite difference method containing the composite trapezoidal rule for the integral part of the equation. Error estimate for the approximate solution is carried out and second-order convergence is attained. In support of the idea, numerical examples are given.en10.1016/j.cam.2025.116850info:eu-repo/semantics/closedAccessNeutral Volterra integro-differential equationStability boundDifference schemeError analysisArticle4732-s2.0-105010437332WOS:001533693200004Q1Q1