This paper tries to provide an attractive framework based on Block-Pulse functions for 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 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. (2025). Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.60254.2570
MLA
Karimi, A. , , Maleknejad, K. , and Ezzati, R. . "Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2024.60254.2570
HARVARD
Karimi, A., Maleknejad, K., Ezzati, R. (2025). 'Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.60254.2570
CHICAGO
A. Karimi , K. Maleknejad and R. Ezzati, "Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2024.60254.2570
VANCOUVER
Karimi, A., Maleknejad, K., Ezzati, R. Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2024.60254.2570
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