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

摘要

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.Finally some numerical examples are presented to show the efficiency and accuracy of the method.