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 |
|---|---|
| Keyword: | Fuzzy integral equations, gauss-seidel iteration, half-sweep gauss seidel, numerical methods |
| Subjects: | Q Science > QA Mathematics |
| Department: | FACULTY > Faculty of Science and Natural Resources |
| Depositing User: | DG MASNIAH AHMAD - |
| Date Deposited: | 20 Apr 2021 07:46 |
| Last Modified: | 20 Apr 2021 07:46 |
| URI: | https://eprints.ums.edu.my/id/eprint/26785 |
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