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.


65R20 Numerical methods for integral equations
45A05 Linear integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations
Full Text: DOI


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