The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In...
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| Format: | Conference or Workshop Item |
| Language: | English |
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Elsevier
2012
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| Online Access: | https://eprints.ums.edu.my/id/eprint/21398/1/The%20solution%20of%202D%20Helmholtz%20Equations%20by%20Modified%20Explicit%20Group%20Iterative%20Method.pdf |
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| author | Mohd Kamalrulzaman Md Akhir Mohamed Othman Jumat Sulaiman Zanariah Abdul Majid |
| author_facet | Mohd Kamalrulzaman Md Akhir Mohamed Othman Jumat Sulaiman Zanariah Abdul Majid |
| author_sort | Mohd Kamalrulzaman Md Akhir |
| collection | UMS |
| description | The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In addition, by using an approximate equation based on the finite difference scheme, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing four-point block iterative methods are given to illustrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-06T02:58:25Z |
| format | Conference or Workshop Item |
| id | ums.eprints-21398 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:58:25Z |
| publishDate | 2012 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | ums.eprints-213982019-05-09T06:15:41Z https://eprints.ums.edu.my/id/eprint/21398/ The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method Mohd Kamalrulzaman Md Akhir Mohamed Othman Jumat Sulaiman Zanariah Abdul Majid QA Mathematics The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In addition, by using an approximate equation based on the finite difference scheme, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing four-point block iterative methods are given to illustrate the effectiveness of the proposed method. Elsevier 2012 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21398/1/The%20solution%20of%202D%20Helmholtz%20Equations%20by%20Modified%20Explicit%20Group%20Iterative%20Method.pdf Mohd Kamalrulzaman Md Akhir and Mohamed Othman and Jumat Sulaiman and Zanariah Abdul Majid (2012) The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method. In: Proc. Int. Conf. on Advances in Computing, Control, and Telecommunication Technologies, ACT. |
| spellingShingle | QA Mathematics Mohd Kamalrulzaman Md Akhir Mohamed Othman Jumat Sulaiman Zanariah Abdul Majid The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method |
| title | The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method |
| title_full | The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method |
| title_fullStr | The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method |
| title_full_unstemmed | The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method |
| title_short | The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method |
| title_sort | solution of 2d helmholtz equations by modified explicit group iterative method |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/21398/1/The%20solution%20of%202D%20Helmholtz%20Equations%20by%20Modified%20Explicit%20Group%20Iterative%20Method.pdf |
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