Explicit group SOR iterative method with quadrature scheme for solving system of Fredholm integral equations of second kind

In this study, the Two-point Explicit Group Successive Over Relaxation (2-EGSOR) iterative method is used to solve a system of linear equations generated from the discretization of system of second kind Fredholm integral equations. The discretization process is done by using quadrature scheme. The formulation and implementation of proposed iterative methods are also presented. Then numerical experiments are carried out onto three test problems to verify the effectiveness of the Gauss-Seidel (GS), Successive Over Relaxation (SOR) and 2-EGSOR methods. The numerical results shown that the 2-EGSOR iterative method with quadrature scheme is more efficient compared to GS and SOR methods.