A numerical method for solving Fredholm–Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix

In this paper, the block pulse functions (BPFs) and their operational matrix are used to solve two-dimensional Fredholm–Volterra integral equations (F–VIE). This method converts F–VIE to systems of linear equations whose solutions are the coefficients of block pulse expansions of the solutions of F–VIE. y some numerical examples are presented to show the efficiency and accuracy of the method.