Approximate solution of integral equations based on generalized sampling operators

Year 2024, , 149 - 164, 30.06.2024

Fuat Usta

https://doi.org/10.53391/mmnsa.1487545

Abstract

In this manuscript, we present and test a numerical scheme with an algorithm to solve Volterra and Abel's integral equations utilizing generalized sampling operators. Illustrative computational examples are included to indicate the validity and practicability of the proposed technique. All of the computational examples in this research have been computed on a personal computer implementing some program coded in MATLAB.

Keywords

Generalized sampling operators, Integral equations, Numerical results

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