QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations

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...

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Bibliographic Details
Main Authors: Akhir, K., Othman, M.A., Suleiman, M., Majid, Z., Sulaiman, J., Muthuvalu, M., Aruchunan, Elayaraja
Format: Journal Article
Published: Hikari Ltd. 2014
Subjects:
Quarter-sweep iteration
- Modified Successive Over-Relaxation
Helmholtz equations
Finite Difference
Online Access:http://hdl.handle.net/20.500.11937/21266
Description
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.

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