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: | Md Akhir, M.K., Othman, M., Suleiman, M., Majid, Z.A., Sulaiman, J., Muthuvalu, M.S., Aruchuan, E. |
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| Format: | Article |
| Institution: | Universiti Teknologi Petronas |
| Record Id / ISBN-0: | utp-eprints.31824 / |
| Published: |
Hikari Ltd.
2014
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| Online Access: |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921761048&doi=10.12988%2fijma.2014.48237&partnerID=40&md5=03ee3f480df5bfaeebb14761c68d41d5 http://eprints.utp.edu.my/31824/ |
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| Summary: |
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 Mohd Kamalrulzaman Md Akhir et al. |
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