Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation

N. F. A. Zainal and Sulaiman, Jumat and M. U. Alibubin (2019) Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation. ARPN Journal of Engineering and Applied Sciences, 14. pp. 616-621. ISSN 1819-6608

	Text Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation ABSTRACT.pdf Download (58kB)
	Text Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation FULL TEXT.pdf Restricted to Registered users only Download (274kB) \| Request a copy

URL: http://www.arpnjournals.org/jeas/research_papers/r...

Abstract

In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOver Relaxation (HSSOR) iterative method for solving this linear system. In order to verify the effectiveness of the HSSOR iterative method, this paper also included the Fullsweep Successive OverRelaxation (FSSOR) and Full-Sweep Gauss-Seidel (FSGS) iterative methods. The performance analysis of these three proposed iterative methods is illustrated by solving four proposed Burger’s problems. The numerical results illustrate the great performance of the HSSOR iterative method together with half-sweep nonlocal arithmetic discretization scheme to solve the Burger’s equations in senses of execution time and number of iterations.

Item Type:	Article
Keyword:	Burger’s equations , Nonlocal arithmetic mean discretization , HSSOR iteration
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA101-(145) Elementary mathematics. Arithmetic
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	SAFRUDIN BIN DARUN -
Date Deposited:	20 Sep 2021 09:39
Last Modified:	20 Sep 2021 09:39
URI:	https://eprints.ums.edu.my/id/eprint/29053

Actions (login required)

View Item