QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations
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.
Citation
Akhir, K. and Othman, M.A. and Suleiman, M. and Majid, Z. and Sulaiman, J. and Muthuvalu, M. and Aruchunan, E. 2014. QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations. International Journal of Mathematical Analysis. 8 (51): pp. 2493-2505.
Source Title
International Journal of Mathematical Analysis
ISSN
School
Department of Mathematics and Statistics
Remarks
This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/
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