A numerical Solution of the Integral Equations

Abstract

Abstract In this research, Touchard Polynomials Method (TPM) are used to find the Approximate numerical solutions, this method is tested on Linear Fredholm Integral Equation (LFIE) and Volterra Integral Equation (LVIE) of second kind, was highly accurate. The algorithm and examples are given to explain the solution procedures. The Comparison of numerical solutions was compatible with exact solutions.