The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering

Shaliza Hayati A. Wahab and A'Qilah Ahmad Dahalan and Azali Saudi (2020) The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering. International Journal of Applied Mathematics and Statistics, 33. pp. 1027-1047. ISSN 0973-1377

	Text The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering abstract.pdf Download (33kB)
	Text The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering fulltext.pdf Restricted to Registered users only Download (360kB)

URL: http://diogenes.bg/ijam/contents/2020-33-6/6/

Abstract

This paper presents the development of a new variant of two-stage Geometric Mean (GM) method for solving 2D elliptic equation. The proposed iterative scheme, called the Skewed Modified Geometric Mean (SkMGM), is derived from finite difference approximation discretized on a skewed grid with red-black ordering. The skewed finite difference scheme combined with redblack ordering is shown to be suitable for parallel implementation. The developed SkMGM scheme is compared with the other methods on the standard grid to confirm the effectiveness of the proposed method in terms of computational complexity and execution time. It is shown that the new proposed method gives the least number of iterations and fastest execution time compared to the other tested methods.

Item Type:	Article
Keyword:	Modified Geometric Mean Method , Partial Differential Equation , Elliptic Equation , Red-Black Ordering , Skewed Finite Difference Method
Subjects:	?? QA75 ??
Department:	FACULTY > Faculty of Computing and Informatics
Depositing User:	NORAINI LABUK -
Date Deposited:	11 Jul 2021 22:02
Last Modified:	11 Jul 2021 22:02
URI:	https://eprints.ums.edu.my/id/eprint/28918

Actions (login required)

View Item