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A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix. (English) Zbl 1219.65158

Summary: 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.

MSC:

65R20 Numerical methods for integral equations
45A05 Linear integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations
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