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...
| Main Authors: | , , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57540/1/The%20arithmetic%20mean%20iterative%20method%20for%20solving%202D%20Helmholtz%20equation.pdf |
| _version_ | 1825931632752721920 |
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| author | Muthuvalu, Mohana Sundaram Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Suleiman, Mohamed Dass, Sarat Chandra Sawaran Singh, Narinderjit Singh |
| 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 |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T09:29:42Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57540 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:42Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | 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 |
| 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 |
| title | 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_short | The arithmetic mean iterative method for solving 2D Helmholtz equation |
| title_sort | arithmetic mean iterative method for solving 2d helmholtz equation |
| url | http://psasir.upm.edu.my/id/eprint/57540/1/The%20arithmetic%20mean%20iterative%20method%20for%20solving%202D%20Helmholtz%20equation.pdf |
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