Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions
نویسندگان
1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
2 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
doi
10.22034/cmde.2024.60254.2570چکیده
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.
