%0 Journal Article
	%A Norhashidah Hj. Mohd Ali and  Teng Wai Ping
	%D 2015
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 97, 2015
	%T New Fourth Order Explicit Group Method in the Solution of the Helmholtz Equation
	%U https://publications.waset.org/pdf/10000115
	%V 97
	%X In this paper, the formulation of a new group explicit
method with a fourth order accuracy is described in solving the two
dimensional Helmholtz equation. The formulation is based on the
nine-point fourth order compact finite difference approximation
formula. The complexity analysis of the developed scheme is also
presented. Several numerical experiments were conducted to test the
feasibility of the developed scheme. Comparisons with other existing
schemes will be reported and discussed. Preliminary results indicate
that this method is a viable alternative high accuracy solver to the
Helmholtz equation.

	%P 7 - 11