QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations
In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equati...
| Main Authors: | , , , , , , |
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| Format: | Journal Article |
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Hikari Ltd.
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/21266 |
| _version_ | 1848750541957496832 |
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| author | Akhir, K. Othman, M.A. Suleiman, M. Majid, Z. Sulaiman, J. Muthuvalu, M. Aruchunan, Elayaraja |
| author_facet | Akhir, K. Othman, M.A. Suleiman, M. Majid, Z. Sulaiman, J. Muthuvalu, M. Aruchunan, Elayaraja |
| author_sort | Akhir, K. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equations using quarter sweep finite difference (FD) scheme. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. |
| first_indexed | 2025-11-14T07:38:29Z |
| format | Journal Article |
| id | curtin-20.500.11937-21266 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:38:29Z |
| publishDate | 2014 |
| publisher | Hikari Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-212662017-09-13T13:53:46Z QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations Akhir, K. Othman, M.A. Suleiman, M. Majid, Z. Sulaiman, J. Muthuvalu, M. Aruchunan, Elayaraja Quarter-sweep iteration - Modified Successive Over-Relaxation Helmholtz equations Finite Difference In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equations using quarter sweep finite difference (FD) scheme. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. 2014 Journal Article http://hdl.handle.net/20.500.11937/21266 10.12988/ijma.2014.48237 Hikari Ltd. fulltext |
| spellingShingle | Quarter-sweep iteration - Modified Successive Over-Relaxation Helmholtz equations Finite Difference Akhir, K. Othman, M.A. Suleiman, M. Majid, Z. Sulaiman, J. Muthuvalu, M. Aruchunan, Elayaraja QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations |
| title | QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations |
| title_full | QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations |
| title_fullStr | QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations |
| title_full_unstemmed | QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations |
| title_short | QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations |
| title_sort | qsmsor iterative method for the solution of 2d homogeneous helmholtz equations |
| topic | Quarter-sweep iteration - Modified Successive Over-Relaxation Helmholtz equations Finite Difference |
| url | http://hdl.handle.net/20.500.11937/21266 |