Numerical Solutions of Linear Fredholm Integral Equations Using Half-Sweep Arithmetic Mean Method

The main aim of this paper is to examine the effectiveness of the Half-Sweep Arithmetic Mean (HSAM) iterative method in solving dense linear systems generated from the discretization of the first and second kind linear Fredholm integral equations. The formulation and implementation of the proposed method is also presented. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method.