Quarter-Sweep Arithmetic Mean (QSAM) Iterative Method for Second Kind Linear Fredholm Integral Equations

Numerical Solution of Second Kind Linear Fredholm Integral Equations via Quarter- Sweep Arithmetic Mean Iterative Method

In previous studies, the concept of quarter-sweep iteration has been pointed out to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations. Based on the same concept, the essential aim of this paper is to investigate the effectiveness of the Quarter-Sweep Arithmetic Mean (QSAM) method by using the quarter-sweep approximation equation...

The Arithmetic Mean Iterative Methods for Solving Dense Linear Systems Arise from First Kind Linear Fredholm Integral Equations

In the previous studies, the effectiveness of the Arithmetic Mean (AM) iterative method and its variants for solving various scientific problems has been investigated. Consequently, in this paper, the implementation and performance one of the AM method variants i.e. Quarter-Sweep Arithmetic Mean (QSAM) method for solving dense linear system associated with the numerical solution of first kind l...

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...

New iterative method for solving linear Fredholm fuzzy integral equations of the second kind

Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations

The main aim of this paper is to examine the effectiveness one of the two-stage iterative method known as Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the first and second kinds of linear Fredholm integral equations. In addition, the formulation and implementation of the HSAM iterative method are also presented. Some illustrat...