University of Tabriz Computational Methods for Differential Equations 2345-3982 14 1 2026 11 01 Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions 223 234 19142 10.22034/cmde.2024.60254.2570 EN Akram Karimi Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. Khosrow Maleknejad Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. Reza Ezzati Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. Journal Article 2024 01 24 This paper tries to provide an attractive framework based on Block-Pulse functions for the numerical solution of a system of two-dimensional Volterra integral equations of the second kind. These types of systems are created through the modeling of physics or engineering phenomena. By constructing operational matrices based on Block Pulse functions and the reduction of variables, a simpler algorithm is built. The block-pulse method is affordable because it converts algebraic systems to a matrix system and reduces the amount of computation. Some numerical examples and error analysis, which are in detail, support the method. https://cmde.tabrizu.ac.ir/article_19142_ffeab8dc22d9a6ed220e0364d6fbaa6e.pdf