Mohd Kamalrulzaman Md Akhir and Mohamed Othman and Mohamed Suleiman and Zanariah Abdul Majid and Mohana Sundaram Muthuvalu and Elvaraja Aruchuan and Jumat Sulaiman (2014) QSMSOR Method Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations. International Journal of Mathematical Analysis, 8 (51). pp. 2493-2505. ISSN 1312-8876
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Abstract
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.
| Item Type: | Article |
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| Keyword: | Helmholtz equations , Quarter-sweep iteration , Finite Difference , Modified Successive Over-Relaxation |
| Subjects: | Q Science > QC Physics |
| Department: | FACULTY > Faculty of Science and Natural Resources |
| Depositing User: | NORAINI LABUK - |
| Date Deposited: | 05 Mar 2019 12:19 |
| Last Modified: | 05 Mar 2019 12:19 |
| URI: | https://eprints.ums.edu.my/id/eprint/21442 |
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