Quarter-Sweep Iterative Method for Second Kind Linear Fredholm Integral Equations

Authors

  • Mohana Sundaram Muthuvalu
  • Jumat Sulaiman

Abstract

The main aim of this article is to investigate the application of the quarter-sweep iteration in solving linear Fredholm integral equations of the second kind. The effectiveness of the quarter-sweep iteration concept with Gauss-Seidel iterative method, known as the Quarter- Sweep Gauss-Seidel (QSGS), by using quarter-sweep approximation equation based on quadrature scheme to solve the problem is examined. In addition, the formulation and implementation of the proposed method are also presented. Some numerical simulations are carried out to show that the proposed method is superior compared to the standard method.

Downloads

Download data is not yet available.

Author Biographies

Mohana Sundaram Muthuvalu

School of Science and Technology, Universiti Malaysia Sabah, Locked Bag 2073, 88999 Kota Kinabalu, Sabah, Malaysia

Jumat Sulaiman

School of Science and Technology, Universiti Malaysia Sabah, Locked Bag 2073, 88999 Kota Kinabalu, Sabah, Malaysia

Downloads

Published

2019-01-19

How to Cite

Muthuvalu, M. S., & Sulaiman, J. (2019). Quarter-Sweep Iterative Method for Second Kind Linear Fredholm Integral Equations. Journal of Science and Mathematics Letters, 2(1), 67–77. Retrieved from https://ojs.upsi.edu.my/index.php/JSML/article/view/451