Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOv...
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| Format: | Article |
| Language: | English English |
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Asian Research Publishing Network
2019
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| Online Access: | https://eprints.ums.edu.my/id/eprint/29053/1/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/29053/2/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20FULL%20TEXT.pdf |
| _version_ | 1825714217558212608 |
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| author | N. F. A. Zainal Sulaiman, Jumat M. U. Alibubin |
| author_facet | N. F. A. Zainal Sulaiman, Jumat M. U. Alibubin |
| author_sort | N. F. A. Zainal |
| collection | UMS |
| description | In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOver Relaxation (HSSOR) iterative method for solving this linear system. In order to verify the effectiveness of the HSSOR iterative method, this paper also included the Fullsweep Successive OverRelaxation (FSSOR) and Full-Sweep Gauss-Seidel (FSGS) iterative methods. The performance analysis of these three proposed iterative methods is illustrated by solving four proposed Burger’s problems. The numerical results illustrate the great performance of the HSSOR iterative method together with half-sweep nonlocal arithmetic discretization scheme to solve the Burger’s equations in senses of execution time and number of iterations. |
| first_indexed | 2024-03-06T03:08:31Z |
| format | Article |
| id | ums.eprints-29053 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:08:31Z |
| publishDate | 2019 |
| publisher | Asian Research Publishing Network |
| record_format | dspace |
| spelling | ums.eprints-290532021-09-20T01:39:17Z https://eprints.ums.edu.my/id/eprint/29053/ Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation N. F. A. Zainal Sulaiman, Jumat M. U. Alibubin QA101-(145) Elementary mathematics. Arithmetic In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOver Relaxation (HSSOR) iterative method for solving this linear system. In order to verify the effectiveness of the HSSOR iterative method, this paper also included the Fullsweep Successive OverRelaxation (FSSOR) and Full-Sweep Gauss-Seidel (FSGS) iterative methods. The performance analysis of these three proposed iterative methods is illustrated by solving four proposed Burger’s problems. The numerical results illustrate the great performance of the HSSOR iterative method together with half-sweep nonlocal arithmetic discretization scheme to solve the Burger’s equations in senses of execution time and number of iterations. Asian Research Publishing Network 2019 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/29053/1/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/29053/2/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20FULL%20TEXT.pdf N. F. A. Zainal and Sulaiman, Jumat and M. U. Alibubin (2019) Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation. ARPN Journal of Engineering and Applied Sciences, 14. pp. 616-621. ISSN 1819-6608 http://www.arpnjournals.org/jeas/research_papers/rp_2019/jeas_0219_7597.pdf |
| spellingShingle | QA101-(145) Elementary mathematics. Arithmetic N. F. A. Zainal Sulaiman, Jumat M. U. Alibubin Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation |
| title | Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation |
| title_full | Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation |
| title_fullStr | Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation |
| title_full_unstemmed | Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation |
| title_short | Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation |
| title_sort | application of half sweep sor iteration with nonlocal arithmetic discretization scheme for solving burger s equation |
| topic | QA101-(145) Elementary mathematics. Arithmetic |
| url | https://eprints.ums.edu.my/id/eprint/29053/1/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/29053/2/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20FULL%20TEXT.pdf |
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