An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation
This research aims to experiment the Modified Accelerated Overrelaxation (MAOR) scheme on second order iterative method for solving two dimensional (2D) Helmholtz Equation. The equation is discretized using the standard second order (Full Sweep) finite difference method. Previous well known relaxat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/80596/ http://psasir.upm.edu.my/id/eprint/80596/1/MAOR.pdf |
| _version_ | 1848858922784391168 |
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| author | Nik Mazlan, Nik Amir Syafiq Othman, Mohamed Senu, Norazak Ismail, Fudziah |
| author_facet | Nik Mazlan, Nik Amir Syafiq Othman, Mohamed Senu, Norazak Ismail, Fudziah |
| author_sort | Nik Mazlan, Nik Amir Syafiq |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This research aims to experiment the Modified Accelerated Overrelaxation (MAOR) scheme on second order iterative method for solving two dimensional (2D) Helmholtz Equation. The equation is discretized using the standard second order (Full Sweep) finite
difference method. Previous well known relaxation schemes includes the Gauss-Seidel (GS), Successive Overrelaxation (SOR), Modified SOR (MSOR) and Accelerated Overrelaxation (AOR) schemes. These schemes has at most two relaxation parameter while the MAOR scheme have more than two. Several numerical experiments were conducted on two different equations to test the feasibility and the superiority of the MAOR scheme compared to the previous schems on different mesh size. |
| first_indexed | 2025-11-15T12:21:09Z |
| format | Article |
| id | upm-80596 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:21:09Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-805962021-02-28T17:40:59Z http://psasir.upm.edu.my/id/eprint/80596/ An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation Nik Mazlan, Nik Amir Syafiq Othman, Mohamed Senu, Norazak Ismail, Fudziah This research aims to experiment the Modified Accelerated Overrelaxation (MAOR) scheme on second order iterative method for solving two dimensional (2D) Helmholtz Equation. The equation is discretized using the standard second order (Full Sweep) finite difference method. Previous well known relaxation schemes includes the Gauss-Seidel (GS), Successive Overrelaxation (SOR), Modified SOR (MSOR) and Accelerated Overrelaxation (AOR) schemes. These schemes has at most two relaxation parameter while the MAOR scheme have more than two. Several numerical experiments were conducted on two different equations to test the feasibility and the superiority of the MAOR scheme compared to the previous schems on different mesh size. IOP Publishing 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80596/1/MAOR.pdf Nik Mazlan, Nik Amir Syafiq and Othman, Mohamed and Senu, Norazak and Ismail, Fudziah (2019) An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation. Journal of Physics: Conference Series, 1366 (012093). pp. 1-8. ISSN 1742-6588; ESSN: 1742-6596 https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012093/pdf 10.1088/1742-6596/1366/1/012093 |
| spellingShingle | Nik Mazlan, Nik Amir Syafiq Othman, Mohamed Senu, Norazak Ismail, Fudziah An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation |
| title | An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation |
| title_full | An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation |
| title_fullStr | An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation |
| title_full_unstemmed | An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation |
| title_short | An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation |
| title_sort | experimental study of the modified accelerated overrelaxation (maor) scheme on stationary helmholtz equation |
| url | http://psasir.upm.edu.my/id/eprint/80596/ http://psasir.upm.edu.my/id/eprint/80596/ http://psasir.upm.edu.my/id/eprint/80596/ http://psasir.upm.edu.my/id/eprint/80596/1/MAOR.pdf |