Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations

Mohana Sundaram Muthuvalu, and Jumat Sulaiman, (2012) Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations. Proyecciones Journal of Mathematics, 31 (1). pp. 65-79.

[img] Text
HalfSweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations.pdf

Download (46kB)

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 ^ (RS1) scheme. The formulation and implementation ofthe 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: Linear Fredholm equations, half-sweep iteration, repeated Simpson, Geometric Mean
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: MDM SITI AZIZAH IDRIS
Date Deposited: 05 Mar 2019 04:01
Last Modified: 05 Mar 2019 04:01
URI: http://eprints.ums.edu.my/id/eprint/21399

Actions (login required)

View Item View Item