WASET
	%0 Journal Article
	%A Norhashidah Hj. Mohd Ali and  Teng Wai Ping
	%D 2016
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 118, 2016
	%T A Comparative Study of High Order Rotated Group Iterative Schemes on Helmholtz Equation
	%U https://publications.waset.org/pdf/10005429
	%V 118
	%X In this paper, we present a high order group explicit method in solving the two dimensional Helmholtz equation. The presented method is derived from a nine-point fourth order finite difference approximation formula obtained from a 45-degree rotation of the standard grid which makes it possible for the construction of iterative procedure with reduced complexity. The developed method will be compared with the existing group iterative schemes available in literature in terms of computational time, iteration counts, and computational complexity. The comparative performances of the methods will be discussed and reported.
	%P 486 - 491