An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR)...
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2016
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| Online Access: | https://eprints.ums.edu.my/id/eprint/18867/1/An%20implementation%20of%20QSAOR%20iterative%20method%20for%20non.pdf https://eprints.ums.edu.my/id/eprint/18867/7/An%20Implementation%20of%20QSAOR%20Iterative%20Method.pdf |
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| author | Mohd Kamalrulzaman Md Akhir Jumat Sulaiman Mohamed Othman Mohana Sundaram Muthuvalu |
| author_facet | Mohd Kamalrulzaman Md Akhir Jumat Sulaiman Mohamed Othman Mohana Sundaram Muthuvalu |
| author_sort | Mohd Kamalrulzaman Md Akhir |
| collection | UMS |
| description | This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR) and half sweep accelerated over re-laxation (HSAOR) methods. The formulation and implementation ofthe QSAOR, HSAOR and FSAOR methods are also presented. Somenumerical tests were carried out to illustrate that the QSAOR methodis superior to HSAOR and FSAOR methods. |
| first_indexed | 2024-03-06T02:54:23Z |
| format | Article |
| id | ums.eprints-18867 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T02:54:23Z |
| publishDate | 2016 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | ums.eprints-188672020-12-28T04:34:07Z https://eprints.ums.edu.my/id/eprint/18867/ An implementation of QSAOR iterative method for non-homogeneous helmholtz equations Mohd Kamalrulzaman Md Akhir Jumat Sulaiman Mohamed Othman Mohana Sundaram Muthuvalu QA Mathematics This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR) and half sweep accelerated over re-laxation (HSAOR) methods. The formulation and implementation ofthe QSAOR, HSAOR and FSAOR methods are also presented. Somenumerical tests were carried out to illustrate that the QSAOR methodis superior to HSAOR and FSAOR methods. Hikari Ltd 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/18867/1/An%20implementation%20of%20QSAOR%20iterative%20method%20for%20non.pdf text en https://eprints.ums.edu.my/id/eprint/18867/7/An%20Implementation%20of%20QSAOR%20Iterative%20Method.pdf Mohd Kamalrulzaman Md Akhir and Jumat Sulaiman and Mohamed Othman and Mohana Sundaram Muthuvalu (2016) An implementation of QSAOR iterative method for non-homogeneous helmholtz equations. International Journal of Contemporary Mathematical Sciences, 11 (2). pp. 85-96. ISSN 1312-7586 http://dx.doi.org/10.12988/ijcms.2016.51047 |
| spellingShingle | QA Mathematics Mohd Kamalrulzaman Md Akhir Jumat Sulaiman Mohamed Othman Mohana Sundaram Muthuvalu An implementation of QSAOR iterative method for non-homogeneous helmholtz equations |
| title | An implementation of QSAOR iterative method for non-homogeneous helmholtz equations |
| title_full | An implementation of QSAOR iterative method for non-homogeneous helmholtz equations |
| title_fullStr | An implementation of QSAOR iterative method for non-homogeneous helmholtz equations |
| title_full_unstemmed | An implementation of QSAOR iterative method for non-homogeneous helmholtz equations |
| title_short | An implementation of QSAOR iterative method for non-homogeneous helmholtz equations |
| title_sort | implementation of qsaor iterative method for non homogeneous helmholtz equations |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/18867/1/An%20implementation%20of%20QSAOR%20iterative%20method%20for%20non.pdf https://eprints.ums.edu.my/id/eprint/18867/7/An%20Implementation%20of%20QSAOR%20Iterative%20Method.pdf |
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