A numerical approach for solving Volterra delay integro-differential equation

Amirali, Ilhame and Durmaz, Muhammet Enes and Amiraliyev, Gabil M. (2024) A numerical approach for solving Volterra delay integro-differential equation. Miskolc Mathematical Notes, 25 (2). pp. 553-561. ISSN 1787-2413

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Abstract

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.

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