An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation
The aim of this article is to describe the formulation of quarter-sweep Modified Successive Over-relaxation (QSMSOR) method using the finite difference approach for solving two-dimensional Helmholtz equation. The concept of QSMSOR method is inspired via the combination between quarter-sweep iterativ...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Academic Publications, Ltd
2012
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/18846/1/An%20efficient%20quarter.pdf |
| _version_ | 1825713295974203392 |
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| author | Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman |
| author_facet | Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman |
| author_sort | Mohd Kamalrulzaman Md Akhir |
| collection | UMS |
| description | The aim of this article is to describe the formulation of quarter-sweep Modified Successive Over-relaxation (QSMSOR) method using the finite difference approach for solving two-dimensional Helmholtz equation. The concept of QSMSOR method is inspired via the combination between quarter-sweep iterative and modified successive over-relaxation (MSOR) method. In addition, the formulation and the implementation of the QSMSOR method are also presented. Some illustrative examples are given to benchmark the effectiveness of the proposed method. |
| first_indexed | 2024-03-06T02:54:21Z |
| format | Article |
| id | ums.eprints-18846 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:54:21Z |
| publishDate | 2012 |
| publisher | Academic Publications, Ltd |
| record_format | dspace |
| spelling | ums.eprints-188462018-02-18T11:57:49Z https://eprints.ums.edu.my/id/eprint/18846/ An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman QA Mathematics The aim of this article is to describe the formulation of quarter-sweep Modified Successive Over-relaxation (QSMSOR) method using the finite difference approach for solving two-dimensional Helmholtz equation. The concept of QSMSOR method is inspired via the combination between quarter-sweep iterative and modified successive over-relaxation (MSOR) method. In addition, the formulation and the implementation of the QSMSOR method are also presented. Some illustrative examples are given to benchmark the effectiveness of the proposed method. Academic Publications, Ltd 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/18846/1/An%20efficient%20quarter.pdf Mohd Kamalrulzaman Md Akhir and Mohamed Othman and Zanariah Abdul Majid and Mohamed Suleiman and Jumat Sulaiman (2012) An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation. International Journal of Pure and Applied Mathematics, 80 (5). pp. 751-764. ISSN 1311-8080 https://www.researchgate.net/publication/255993033_An_Efficient_Quarter-Sweep_Modified_SOR_Iterative_Method_for_Solving_Helmholtz_Equation |
| spellingShingle | QA Mathematics Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation |
| title | An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation |
| title_full | An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation |
| title_fullStr | An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation |
| title_full_unstemmed | An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation |
| title_short | An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation |
| title_sort | efficient quarter sweep modified sor iterative method for solving helmholtz equation |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/18846/1/An%20efficient%20quarter.pdf |
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