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.
Karimi, A. , Maleknejad, K. and Ezzati, R. (2026). Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions. Computational Methods for Differential Equations, 14(1), 223-234. doi: 10.22034/cmde.2024.60254.2570
MLA
Karimi, A. , , Maleknejad, K. , and Ezzati, R. . "Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions", Computational Methods for Differential Equations, 14, 1, 2026, 223-234. doi: 10.22034/cmde.2024.60254.2570
HARVARD
Karimi, A., Maleknejad, K., Ezzati, R. (2026). 'Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions', Computational Methods for Differential Equations, 14(1), pp. 223-234. doi: 10.22034/cmde.2024.60254.2570
CHICAGO
A. Karimi , K. Maleknejad and R. Ezzati, "Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions," Computational Methods for Differential Equations, 14 1 (2026): 223-234, doi: 10.22034/cmde.2024.60254.2570
VANCOUVER
Karimi, A., Maleknejad, K., Ezzati, R. Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions. Computational Methods for Differential Equations, 2026; 14(1): 223-234. doi: 10.22034/cmde.2024.60254.2570
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