Implementation of red black strategy to quarter sweep iteration for solving first order hyperbolic equations

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.

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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)
Uncontrolled Keywords: 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: ?? QA150-272.5 ??
Divisions: SCHOOL > School of Science and Technology
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 24 Mar 2011 05:24
Last Modified: 30 Dec 2014 06:30
URI: http://eprints.ums.edu.my/id/eprint/1635

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