Performance analysis of Half-Sweep AOR iterative method in solving second kind Linear Fredholm Integral Equations

Author

Muthuvalu, Mohana Sundaram ; Sulaiman, Jumat

Author_Institution

Dept. of Pet. Eng., Univ. Teknol. PETRONAS, Tronoh, Malaysia

fYear

2014

Firstpage

1

Lastpage

5

Abstract

This work presents a concept of deriving Half-Sweep Accelerated Over-Relaxation (HSAOR) iterative method for linear Fredholm integral equations of the second kind. The HSAOR method will be implemented on the first order composite closed Newton-Cotes quadrature (1-CNCC) system that arise from the linear Fredholm integral equations of the second kind. Results of numerical simulations show that the HSAOR method is superior to tested standard Accelerated Over-Relaxation (AOR) and Gauss-Seidel (GS) methods.

Keywords

Fredholm integral equations; iterative methods; 1-CNCC system; Gauss-Seidel metjod; HSAOR method; first order composite closed Newton-Cotes quadrature system; half-sweep AOR iterative method; half-sweep accelerated over-relaxation iterative method; second kind linear Fredholm integral equations; Acceleration; Approximation methods; Convergence; Equations; Integral equations; Iterative methods; Scientific computing; Fredholm integral equation; Half-sweep iteration; Newton-Cotes quadrature scheme; Stationary iterative method;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Science and Technology (ICCST), 2014 International Conference on

Type

conf

DOI

10.1109/ICCST.2014.7045197

Filename

7045197