The arithmetic mean iterative method for solving 2D Helmholtz equation

Citation

Muthuvalu, Mohana Sundaram and Md Akhir, Mohd Kamalrulzaman and Sulaiman, Jumat and Suleiman, Mohamed and Dass, Sarat Chandra and Sawaran Singh, Narinderjit Singh (2014) The arithmetic mean iterative method for solving 2D Helmholtz equation. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 169-175).

Abstract

In this paper, application of the Arithmetic Mean (AM) iterative method is extended by solving second order finite difference algebraic equations. The performance of AM method in solving second order finite difference algebraic equations is comparatively studied by their application on two-dimensional Helmholtz equation. Numerical results of AM method in solving two test problems are included and compared with the standard Gauss-Seidel (GS) method. Based on the numerical results obtained, the results show that AM method is better than GS method in the sense of number of iterations and CPU time.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4898462
Publisher:	AIP Publishing LLC
Keywords:	2D Helmholtz equation; Arithmetic mean iterative method
Depositing User:	Nabilah Mustapa
Date Deposited:	24 Oct 2017 03:38
Last Modified:	24 Oct 2017 03:38
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4898462
URI:	http://psasir.upm.edu.my/id/eprint/57540
Statistic Details:	View Download Statistic

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