Acar, H.Amirali, I.Durmaz, M. E.Amiraliyev, G. M.2025-10-112025-10-1120250965-54251555-6662https://doi.org/10.1134/S0965542525700149https://hdl.handle.net/20.500.12684/21802The aim of this paper is to introduce a numerical method for advanced Volterra delay integro-differential equation with initial condition. A finite difference scheme on a uniform mesh using the trapezoidal formula is developed to numerically solve this problem. Additionally, demonstrated that this approach yields second-order convergence in the discrete maximum norm. The proposed method is validated through the presentation of numerical results.en10.1134/S0965542525700149info:eu-repo/semantics/closedAccessadvanced Volterra integro-differential equation with delayfinite difference schemeuniform convergenceerror estimateArticle6546987102-s2.0-105008437417WOS:001510569800008Q3Q3