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Öğe A NUMERICAL APPROACH FOR SOLVING VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATION(Univ Miskolc Inst Math, 2024) Amirali, Ilhame; Durmaz, Muhammet enes; Amiraliyev, Gabil N.In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems to support the theoretical analysis. 2010 Mathematics Subject Classification: 45D05; 45J05; 65L20; 65L70; 65R20