Numerical solution of helmholtz equation using a new four point EGMSOR iterative method.
Recently, a family of block iterative method via Explicit Group (EG) iterative methods is shown to be one of the feasible and successful classes of iterative methods in solving any system of linear algebraic equations. The aim of this article is to examine the effectiveness of the new four Point-EGM...
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25045/1/Numerical%20solution%20of%20helmholtz%20equation%20using%20a%20new%20four%20point%20EGMSOR%20iterative%20method.pdf |
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| author | Md. Akhir, Mohd Kamarulzaman Othman, Mohamed Sulaiman, Jumat Abdul Majid, Zanariah Suleiman, Mohamed |
| author_facet | Md. Akhir, Mohd Kamarulzaman Othman, Mohamed Sulaiman, Jumat Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort | Md. Akhir, Mohd Kamarulzaman |
| collection | UPM |
| description | Recently, a family of block iterative method via Explicit Group (EG) iterative methods is shown to be one of the feasible and successful classes of iterative methods in solving any system of linear algebraic equations. The aim of this article is to examine the effectiveness of the new four Point-EGMSOR iterative methods in solving two-dimensional Helmholtz equations. The concept of a four Point-EGMSOR is inspired via combination between four Point-EG iterative method together with Modified Successive OverRelaxation (MSOR) approach, namely four Point-EGMSOR. In addition, the formulation and implementation of the proposed method are also presented. Some numerical experiments have been carried out to show the effectiveness of the proposed method compared to the standard method. |
| first_indexed | 2024-03-06T08:01:40Z |
| format | Article |
| id | upm.eprints-25045 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:01:40Z |
| publishDate | 2011 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | upm.eprints-250452015-10-20T00:43:58Z http://psasir.upm.edu.my/id/eprint/25045/ Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. Md. Akhir, Mohd Kamarulzaman Othman, Mohamed Sulaiman, Jumat Abdul Majid, Zanariah Suleiman, Mohamed Recently, a family of block iterative method via Explicit Group (EG) iterative methods is shown to be one of the feasible and successful classes of iterative methods in solving any system of linear algebraic equations. The aim of this article is to examine the effectiveness of the new four Point-EGMSOR iterative methods in solving two-dimensional Helmholtz equations. The concept of a four Point-EGMSOR is inspired via combination between four Point-EG iterative method together with Modified Successive OverRelaxation (MSOR) approach, namely four Point-EGMSOR. In addition, the formulation and implementation of the proposed method are also presented. Some numerical experiments have been carried out to show the effectiveness of the proposed method compared to the standard method. Hikari Ltd 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25045/1/Numerical%20solution%20of%20helmholtz%20equation%20using%20a%20new%20four%20point%20EGMSOR%20iterative%20method.pdf Md. Akhir, Mohd Kamarulzaman and Othman, Mohamed and Sulaiman, Jumat and Abdul Majid, Zanariah and Suleiman, Mohamed (2011) Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. Applied Mathematical Sciences, 5 (80). pp. 3991-4004. ISSN 1312-885X http://www.m-hikari.com/ English |
| spellingShingle | Md. Akhir, Mohd Kamarulzaman Othman, Mohamed Sulaiman, Jumat Abdul Majid, Zanariah Suleiman, Mohamed Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. |
| title | Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. |
| title_full | Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. |
| title_fullStr | Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. |
| title_full_unstemmed | Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. |
| title_short | Numerical solution of helmholtz equation using a new four point EGMSOR iterative method. |
| title_sort | numerical solution of helmholtz equation using a new four point egmsor iterative method |
| url | http://psasir.upm.edu.my/id/eprint/25045/1/Numerical%20solution%20of%20helmholtz%20equation%20using%20a%20new%20four%20point%20EGMSOR%20iterative%20method.pdf |
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