Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation
The aim of this study is to find semi-approximate solution of nonlinear Burgers’ equation based on the semi-approximate approach. To derive the approximation equation, the discretization of second-order implicit scheme has been used to discretize the proposed problem. To eliminate the nonlinear term...
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Faculty of Science and Natural Resources
2020
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| Online Access: | https://eprints.ums.edu.my/id/eprint/24558/1/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation.pdf https://eprints.ums.edu.my/id/eprint/24558/2/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation1.pdf https://eprints.ums.edu.my/id/eprint/24558/ https://www.ums.edu.my/fssa/wp-content/uploads/2020/12/PROCEEDINGS-BOOK-ST-2020-e-ISSN.pdf |
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| author | N. F. A. Zainal Jumat Sulaiman Azali Saudi N. A. M. Ali |
| author_facet | N. F. A. Zainal Jumat Sulaiman Azali Saudi N. A. M. Ali |
| author_sort | N. F. A. Zainal |
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| collection | Institutional Repository |
| content_provider | Universiti Malaysia Sabah |
| content_source | UMS Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The aim of this study is to find semi-approximate solution of nonlinear Burgers’ equation based on the semi-approximate approach. To derive the approximation equation, the discretization of second-order implicit scheme has been used to discretize the proposed problem. To eliminate the nonlinear term of the proposed problems, semi-approximate approach is used to form a linear system which can be solved iteratively. Furthemore, numerical results of three proposed examples are included to examine the performance of Gauss-Seidel (GS) iteration compared to Jacobi iteration. The implementation of iteration with semi-approximate approach shown that GS iteration is more efficient than Jacobi iteration in aspect of iteration numbers and execution time. |
| format | Proceedings |
| id | my.ums.eprints-24558 |
| institution | Universiti Malaysia Sabah |
| language | en en |
| publishDate | 2020 |
| publisher | Faculty of Science and Natural Resources |
| record_format | eprints |
| spelling | my.ums.eprints-245582021-06-09T02:07:50Z https://eprints.ums.edu.my/id/eprint/24558/ Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation N. F. A. Zainal Jumat Sulaiman Azali Saudi N. A. M. Ali Q Science (General) The aim of this study is to find semi-approximate solution of nonlinear Burgers’ equation based on the semi-approximate approach. To derive the approximation equation, the discretization of second-order implicit scheme has been used to discretize the proposed problem. To eliminate the nonlinear term of the proposed problems, semi-approximate approach is used to form a linear system which can be solved iteratively. Furthemore, numerical results of three proposed examples are included to examine the performance of Gauss-Seidel (GS) iteration compared to Jacobi iteration. The implementation of iteration with semi-approximate approach shown that GS iteration is more efficient than Jacobi iteration in aspect of iteration numbers and execution time. Faculty of Science and Natural Resources 2020 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/24558/1/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation.pdf text en https://eprints.ums.edu.my/id/eprint/24558/2/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation1.pdf N. F. A. Zainal and Jumat Sulaiman and Azali Saudi and N. A. M. Ali (2020) Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation. https://www.ums.edu.my/fssa/wp-content/uploads/2020/12/PROCEEDINGS-BOOK-ST-2020-e-ISSN.pdf |
| spellingShingle | Q Science (General) N. F. A. Zainal Jumat Sulaiman Azali Saudi N. A. M. Ali Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| title | Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| title_full | Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| title_fullStr | Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| title_full_unstemmed | Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| title_short | Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| title_sort | implicit solution of gs iteration with semi approximate approach for solving burgers’ equation |
| topic | Q Science (General) |
| url | https://eprints.ums.edu.my/id/eprint/24558/1/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation.pdf https://eprints.ums.edu.my/id/eprint/24558/2/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation1.pdf https://eprints.ums.edu.my/id/eprint/24558/ https://www.ums.edu.my/fssa/wp-content/uploads/2020/12/PROCEEDINGS-BOOK-ST-2020-e-ISSN.pdf |
| url_provider | http://eprints.ums.edu.my/ |