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An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Computer Science and Information Technology
Institute for Mathematical Research
DOI Number: https://doi.org/10.1088/1742-6596/1366/1/012093
Publisher: IOP Publishing
Keywords: Modified Accelerated Overrelaxation; Relaxation; Mathematics
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 28 Feb 2021 17:40
Last Modified: 28 Feb 2021 17:40
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/1366/1/012093
URI: http://psasir.upm.edu.my/id/eprint/80596
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