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Solution and Error Analysis of Two Dimensional Fredholm-Volterra Integral Equations Using Piecewise Constant Functions

DOI: 10.5923/j.ajcam.20120201.10

Keywords: Two-dimensional Fredholm-Volterra integral equations, Piecewise constant functions, Block-Pulse functions, Error analysis

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Abstract:

In this paper, the piecewise constant Block-Pulse functions and their operational matrices of integration have directly been used to solve a two-dimensional Fredholm-Volterra integral equation of second kind. This method presents a computational technique through converting this integral equation into a system of linear equations which can be easily solved by the known methods. Also the error analysis of this method will be considered. The efficiency and accuracy of the proposed method are illustrated by some examples.

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