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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 discretiza-tion 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… (More)

In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Arithmetic Mean (QSAM) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. In addition, the formulation and implementation… (More)

In this paper, numerical solution of the dense linear systems that arise from the linear second kind Fredholm integral equation was studied. The half-sweep geometric mean (HSGM) iterative method is applied to solve linear systems generated from discretization of the linear Fredholm integral equations of the second kind using repeated trapezoidal (RT) and… (More)

The main aim of this paper is to investigate the performance of two iterative methods i.e. Gauss-Seidel (GS) and 2-Point Explicit Group (2-EG) in solving dense linear system associated with the numerical solution of first kind linear Fredholm integral equations. The formulation and implementation of the both methods are presented. In addition, some… (More)

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