Quarter-Sweep Iterative Method for Second Kind Linear Fredholm Integral Equations

Abstract

The main aim of this article is to investigate the application of the quarter-sweep iteration in solving linear Fredholm integral equations of the second kind. The effectiveness of the quarter-sweep iteration concept with Gauss-Seidel iterative method, known as the Quarter- Sweep Gauss-Seidel (QSGS), by using quarter-sweep approximation equation based on quadrature scheme to solve the problem is examined. In addition, the formulation and implementation of the proposed method are also presented. Some numerical simulations are carried out to show that the proposed method is superior compared to the standard method.