Numerical Solution of Second Kind Linear Fredholm Integral Equations via Quarter- Sweep Arithmetic Mean Iterative Method
نویسندگان
چکیده
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 based on repeated Simpson scheme in solving second kind linear integral equations of Fredholm type. Furthermore, the formulation and implementation of the proposed method are also presented. Some numerical tests were also conducted to verify the efficiency of the proposed method.
منابع مشابه
Quarter-Sweep Arithmetic Mean (QSAM) Iterative Method for Second Kind Linear Fredholm Integral Equations
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 of the proposed method to solve the pr...
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