Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
In this article, we consider the numerical solution of two-dimensional Helmholtz equation. The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the finite difference scheme using the seco...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf |
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| author | Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat |
| author_facet | Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat |
| author_sort | Md Akhir, Mohd Kamalrulzaman |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this article, we consider the numerical solution of two-dimensional Helmholtz equation.
The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the
finite difference scheme using the second order central difference. In addition, the formulation and implementation of the proposed method to solve the problem also
presented. Numerical result and comparisons with other existing method are given to illustrate the efficiency of the proposed method. |
| first_indexed | 2025-11-15T08:43:46Z |
| format | Article |
| id | upm-25208 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:43:46Z |
| publishDate | 2012 |
| publisher | Hikari Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-252082015-10-09T08:01:16Z http://psasir.upm.edu.my/id/eprint/25208/ Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat In this article, we consider the numerical solution of two-dimensional Helmholtz equation. The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the finite difference scheme using the second order central difference. In addition, the formulation and implementation of the proposed method to solve the problem also presented. Numerical result and comparisons with other existing method are given to illustrate the efficiency of the proposed method. Hikari Ltd 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf Md Akhir, Mohd Kamalrulzaman and Othman, Mohamed and Abdul Majid, Zanariah and Suleiman, Mohamed and Sulaiman, Jumat (2012) Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. International Journal of Mathematical Analysis, 6 (20). pp. 963-974. ISSN 1312-8876; ESSN:1314-7579 http://www.m-hikari.com/ijma/ijma-2012/ijma-17-20-2012/akhirIJMA17-20-2012.pdf English |
| spellingShingle | Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. |
| title | Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. |
| title_full | Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. |
| title_fullStr | Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. |
| title_full_unstemmed | Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. |
| title_short | Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. |
| title_sort | four point explicit decoupled group iterative method applied to two-dimensional helmholtz equation. |
| url | http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf |