Numerical solution of fuzzy fredholm integral equations of second kind using half-sweep gauss-seidel iteration

Labiyana Hanif Ali and Jumat Sulaiman and Siti Rahayu Mohd. Hashim (2020) Numerical solution of fuzzy fredholm integral equations of second kind using half-sweep gauss-seidel iteration. Journal of Engineering Science and Technology, 15 (5). pp. 3303-3313.

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Abstract

The purpose of this study is to apply the Half-Sweep Gauss-Seidel (HSGS) iteration to find the approximate solution of fuzzy Fredholm integral equations of the second kind (FFIE-2). The approximation equation of FFIE-2 is derived by using trapezoidal quadrature scheme to generate Half-Sweep system of fuzzy linear equations. Then, the generated linear system of FFIE-2 is solved using HSGS. After that, some numerical examples are conducted to test the efficiency of the HSGS compared with Full-Sweep Jacobi (FSJ) and Full-Sweep Gauss-Seidel (FSGS) iterative methods. The comparative analysis is done by using three measuring parameters: number of iterations, iteration time, and Hausdorff distance. Based on the findings, it can be pointed out that HSGS method is more efficient than the FSJ and FSGS iterative methods.

Item Type: Article
Uncontrolled Keywords: Fuzzy integral equations, gauss-seidel iteration, half-sweep gauss seidel, numerical methods
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: DG MASNIAH AHMAD -
Date Deposited: 19 Apr 2021 23:46
Last Modified: 19 Apr 2021 23:46
URI: http://eprints.ums.edu.my/id/eprint/26785

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