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

Bildik N., Özlü S.

Applied Mathematics and Computation, cilt.163, sa.1, ss.505-518, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 163 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.02.014
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.505-518
  • Anahtar Kelimeler: ADI, AGE methods, Helmholtz equation, Maple V computer programming
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.