Jumat Sulaiman and Mohammad Khatim Hasan and Mohamed Othman (2009) Implementation of red black strategy to quarter sweep iteration for solving first order hyperbolic equations. In: International Symposium on Information Technology 2008 (ITSim), 26-29 August 2008, Kuala Lumpur, Malaysia.
Full text not available from this repository.Abstract
Our previous researches have shown the extraordinary performance of quarter sweep iteration to speed-up the original method by four times. In this paper, an experimental study is conducted to show the efficiency of the Red-Black Quarter-Sweep iteration by using the Crank-Nicolson (CN) finite difference approximation scheme to obtain numerical solutions of the first order hyperbolic equation. In this paper, the implementation of the Red-Black strategy to Full-Sweep Gauss-Seidel (FGS-RB), Half-Sweep Gauss-Seidel (HGS-RB), and the Quarter-Sweep GaussSeidel (QGS-RB) methods will be discussed. Finally, through numerical results obtained, the QGS-RB iterative method has been shown to be the most superior method compared to FGS-RB and HGS-RB methods. © 2008 IEEE.
| Item Type: | Conference or Workshop Item (UNSPECIFIED) |
|---|---|
| Keyword: | Difference equations, Information technology, Iterative methods, Mercury compounds, Unsteady flow, Experimental studies, Finite difference approximations, First orders, Gauss seidels, Hyperbolic equations, Numerical results; Numerical solutions, Rb methods, Red blacks, Speed-up |
| Subjects: | Q Science > QA Mathematics > QA1-939 Mathematics > QA150-272.5 Algebra |
| Department: | SCHOOL > School of Science and Technology |
| Depositing User: | ADMIN ADMIN |
| Date Deposited: | 24 Mar 2011 13:24 |
| Last Modified: | 30 Dec 2014 14:30 |
| URI: | https://eprints.ums.edu.my/id/eprint/1635 |
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