On the solution of Poisson equation by alternating group explicit iterative method

Bildik N., Avci G.

Applied Mathematics and Computation, vol.166, no.2, pp.411-425, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 166 Issue: 2
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.06.055
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.411-425
  • Keywords: ADI, AGE methods, Poisson equation, Maple V computer programming
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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