Numerical Solutions of Fredholm Integral Equations of the Second Kind Using Certain Quadratures

Abstract

In this paper, nonhomogeneous Fredholm integral equations of the second kind are approximated using Boole’s and Weddle’s rules. The kernels of the family of integral equations are approximated by the two quadrature formulae due to their accuracy. In most of the problems solved, the two quadratures give exact solutions, but where the exact solution is not obtained, the numerical approximation realized are very reasonable.