On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods

Bildik N., Özlü S.

Applied Mathematics and Computation, vol.163, no.1, pp.505-518, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 163 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.02.014
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.505-518
  • Keywords: ADI, AGE methods, Helmholtz equation, Maple V computer programming
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper the alternating group explicit (AGE) iterative methods which is modified analogues of the classical alternating direction implicit (ADI) methods, are introduced. Helmholtz equation is transformed a linear system using by suitably finite difference equations and also the solution of this system is done with AGE methods. Numerical striking results are obtained by using Maple V computer programming. © 2004 Elsevier Inc. All rights reserved.