N. S. Mohamad and Jumat Sulaiman and N. F. A. Zainal and Azali Saudi (2021) First order piecewise collocation solution of fredholm integral equation second type using SOR iteration. In: International Conference on Computational Science and Technology, ICCST 2020, 29 - 30 August 2020, Pattaya, Thailand.
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First order piecewise collocation solution of fredholm integral equation second type using SOR iteration- Abstract.pdf Download (57kB) |
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First Order Piecewise Collocation Solution of Fredholm Integral Equation Second Type Using SOR Iteration.pdf Restricted to Registered users only Download (562kB) | Request a copy |
Abstract
We evaluate the first-order approximation solution piecewise by firstorder polynomial collocation with Quadrature scheme on second-type Fredholm integral equations. This discretization derived the formulation to solve the first order piecewise approximation equation in which the linear system was built. The SOR method was described as a linear solver in which its formulation was constructed and applied in this study. In order to obtain the approximation solutions, the combination of SOR iterative method with the first-order piecewise polynomial by collocation with quadrature scheme has shown that performance of SOR method is superior than Jacobi method in terms of number of iterations and time of completion.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Keyword: | Polynomial , Collocation , Quadrature scheme , SOR , Jacobi , Fredholm integral equation of second type |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Department: | FACULTY > Faculty of Computing and Informatics |
| Depositing User: | DG MASNIAH AHMAD - |
| Date Deposited: | 31 Jul 2021 12:02 |
| Last Modified: | 31 Jul 2021 22:12 |
| URI: | https://eprints.ums.edu.my/id/eprint/30184 |
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