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The arithmetic mean iterative method for solving 2D Helmholtz equation

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-dimension...

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Main Authors: Muthuvalu, Mohana Sundaram, Md Akhir, Mohd Kamalrulzaman, Sulaiman, Jumat, Suleiman, Mohamed, Dass, Sarat Chandra, Sawaran Singh, Narinderjit Singh
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/57540/1/The%20arithmetic%20mean%20iterative%20method%20for%20solving%202D%20Helmholtz%20equation.pdf
http://psasir.upm.edu.my/id/eprint/57540/
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spelling my.upm.eprints.575402017-10-24T03:38:41Z http://psasir.upm.edu.my/id/eprint/57540/ The arithmetic mean iterative method for solving 2D Helmholtz equation Muthuvalu, Mohana Sundaram Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Suleiman, Mohamed Dass, Sarat Chandra Sawaran Singh, Narinderjit Singh 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. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57540/1/The%20arithmetic%20mean%20iterative%20method%20for%20solving%202D%20Helmholtz%20equation.pdf 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). 10.1063/1.4898462
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Conference or Workshop Item
author Muthuvalu, Mohana Sundaram
Md Akhir, Mohd Kamalrulzaman
Sulaiman, Jumat
Suleiman, Mohamed
Dass, Sarat Chandra
Sawaran Singh, Narinderjit Singh
spellingShingle Muthuvalu, Mohana Sundaram
Md Akhir, Mohd Kamalrulzaman
Sulaiman, Jumat
Suleiman, Mohamed
Dass, Sarat Chandra
Sawaran Singh, Narinderjit Singh
The arithmetic mean iterative method for solving 2D Helmholtz equation
author_facet Muthuvalu, Mohana Sundaram
Md Akhir, Mohd Kamalrulzaman
Sulaiman, Jumat
Suleiman, Mohamed
Dass, Sarat Chandra
Sawaran Singh, Narinderjit Singh
author_sort Muthuvalu, Mohana Sundaram
title The arithmetic mean iterative method for solving 2D Helmholtz equation
title_short The arithmetic mean iterative method for solving 2D Helmholtz equation
title_full The arithmetic mean iterative method for solving 2D Helmholtz equation
title_fullStr The arithmetic mean iterative method for solving 2D Helmholtz equation
title_full_unstemmed The arithmetic mean iterative method for solving 2D Helmholtz equation
title_sort arithmetic mean iterative method for solving 2d helmholtz equation
publisher AIP Publishing LLC
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/57540/1/The%20arithmetic%20mean%20iterative%20method%20for%20solving%202D%20Helmholtz%20equation.pdf
http://psasir.upm.edu.my/id/eprint/57540/
_version_ 1643836517905334272
score 13.244745

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