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Half-Sweep Iterative Method for Solving Two-Dimensional Helmholtz Equations

M.K.M Akhir, M. Othman, J. Sulaiman, Z.A Majid, M. Suleiman

Abstract



The main purpose of this article is to examine the effectiveness of the Half-sweep Gauss-Seidel (HSGS) in solving the sparse linear systems generated form discretization of the two-dimensional Helmholtz equations. In addition, the application and formulation of the HSGS iterative method also presented. Some illustrative examples are given to point out the efficiency of the proposed method.

Keywords


Helmholtz equations, Finite Difference Scheme, Half-Sweep iteration, Gauss-Seidel (GS) method.

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