Performance analysis of Half-Sweep AOR iterative method in solving second kind Linear Fredholm Integral Equations

Abstract

This work presents a concept of deriving HalfSweep Accelerated Over-Relaxation (HSAOR) iterative method for linear Fredholm integral equations of the second kind. The HSAOR method will be implemented on the first order composite closed Newton-Cotes quadrature (1-CNCC) system that arise from the linear Fredholm integral equations of the second kind. Results of numerical simulations show that the HSAOR method is superior to tested standard Accelerated Over-Relaxation (AOR) and Gauss-Seidel (GS) methods.