First order piecewise collocation solution of fredholm integral equation second type using SOR iteration
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 bu...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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2021
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| Online Access: | https://eprints.ums.edu.my/id/eprint/30184/3/First%20order%20piecewise%20collocation%20solution%20of%20fredholm%20integral%20equation%20second%20type%20using%20SOR%20iteration-%20Abstract.pdf https://eprints.ums.edu.my/id/eprint/30184/2/First%20Order%20Piecewise%20Collocation%20Solution%20of%20Fredholm%20Integral%20Equation%20Second%20Type%20Using%20SOR%20Iteration.pdf |
| _version_ | 1825714310407520256 |
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| author | N. S. Mohamad Jumat Sulaiman N. F. A. Zainal Azali Saudi |
| author_facet | N. S. Mohamad Jumat Sulaiman N. F. A. Zainal Azali Saudi |
| author_sort | N. S. Mohamad |
| collection | UMS |
| description | 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. |
| first_indexed | 2024-03-06T03:09:55Z |
| format | Conference or Workshop Item |
| id | ums.eprints-30184 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:09:55Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ums.eprints-301842021-07-31T14:12:38Z https://eprints.ums.edu.my/id/eprint/30184/ First order piecewise collocation solution of fredholm integral equation second type using SOR iteration N. S. Mohamad Jumat Sulaiman N. F. A. Zainal Azali Saudi Q Science (General) QA Mathematics 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. 2021-03-16 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/30184/3/First%20order%20piecewise%20collocation%20solution%20of%20fredholm%20integral%20equation%20second%20type%20using%20SOR%20iteration-%20Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/30184/2/First%20Order%20Piecewise%20Collocation%20Solution%20of%20Fredholm%20Integral%20Equation%20Second%20Type%20Using%20SOR%20Iteration.pdf 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. https://link.springer.com/chapter/10.1007/978-981-33-4069-5_32 |
| spellingShingle | Q Science (General) QA Mathematics N. S. Mohamad Jumat Sulaiman N. F. A. Zainal Azali Saudi First order piecewise collocation solution of fredholm integral equation second type using SOR iteration |
| title | First order piecewise collocation solution of fredholm integral equation second type using SOR iteration |
| title_full | First order piecewise collocation solution of fredholm integral equation second type using SOR iteration |
| title_fullStr | First order piecewise collocation solution of fredholm integral equation second type using SOR iteration |
| title_full_unstemmed | First order piecewise collocation solution of fredholm integral equation second type using SOR iteration |
| title_short | First order piecewise collocation solution of fredholm integral equation second type using SOR iteration |
| title_sort | first order piecewise collocation solution of fredholm integral equation second type using sor iteration |
| topic | Q Science (General) QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/30184/3/First%20order%20piecewise%20collocation%20solution%20of%20fredholm%20integral%20equation%20second%20type%20using%20SOR%20iteration-%20Abstract.pdf https://eprints.ums.edu.my/id/eprint/30184/2/First%20Order%20Piecewise%20Collocation%20Solution%20of%20Fredholm%20Integral%20Equation%20Second%20Type%20Using%20SOR%20Iteration.pdf |
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