Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials

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Jalil Talab Abdullah

Abstract

In this paper, Touchard polynomials (TPs) are presented for solving Linear Volterra integral equations of the second kind (LVIEs-2k) and the first kind (LVIEs-1k) besides, the singular kernel type of this equation. Illustrative examples show the efficiency of the presented method, and the approximate numerical (AN) solutions are compared with one another method in some examples. All calculations and graphs are performed by program MATLAB2018b.

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Abdullah JT. Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials. Baghdad Sci.J [Internet]. 2020Dec.1 [cited 2021Jan.25];17(4):1241. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3753
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