Two-stage waveform relaxation method for the initial value problems with non-constant coefficients

Hassanzadeh Z., Salkuyeh D. K.

Computational and Applied Mathematics, cilt.33, sa.3, ss.641-654, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s40314-013-0086-7
  • Dergi Adı: Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.641-654
  • Anahtar Kelimeler: Euler method, Inner/outer, M-splitting, Ordinary differential equations, Two-stage, Waveform relaxation method
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this paper, we present a two-stage waveform relaxation method applied to the initial value problems for the linear systems of ordinary differential equations in the form(formula presented). By making use of the forward Euler method, we derive sufficient conditions for the convergence of this method, when(formula presented) is M-matrix for every(formula presented). Finally some numerical experiments are given to illustrate some of the theoretical results.