Half-sweep geometric mean iterative method for the repeated simpson solution of second kind linear Fredholm integral equations

Muthuvalu, Mohana Sundaram and Jumat Sulaiman, (2012) Half-sweep geometric mean iterative method for the repeated simpson solution of second kind linear Fredholm integral equations. Proyecciones, 31 (1). pp. 65-79. ISSN 0716-0917

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Official URL: http://dx.doi.org/10.4067/S0716-09172012000100007

Abstract

In previous studies, the effectiveness of the Half-Sweep Geometric Mean (HSGM) iterative method has been shown in solving first and second kind linear Fredholm integral equations using repeated trapezoidal (RT) discretization scheme. In this work, we investigate the efficiency of the HSGM method to solve dense linear system generated from the discretization of the second kind linear Fredholm integral equations by using repeated Simpson's 1 3 (RS1) scheme. The formulation and implementation of the proposed method are also presented. In addition, several numerical simulations and computational complexity analysis were also included to verify the efficiency of the proposed method.

Item Type:Article
Uncontrolled Keywords:Geometric mean, Half-sweep iteration, Linear Fredholm equations, Repeated simpson
Subjects:Q Science > QA Mathematics
ID Code:5713
Deposited By:IR Admin
Deposited On:07 May 2013 10:32
Last Modified:18 Feb 2015 12:06

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