A numerical solution of the Burgers' equation using cubic B-splines

Dag İ., Irk D., Saka B.

APPLIED MATHEMATICS AND COMPUTATION, cilt.163, sa.1, ss.199-211, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 163 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.01.028
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.199-211
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In the present paper numerical Solutions of the one-dimensional Burgers' equation are obtained by a method based on collocation of cubic B-splines over finite elements. The accuracy of the proposed method is demonstrated by three test problems. The numerical results are found in good agreement with exact solutions. Time-space integration of the Burgers' equation yields a system of difference equation which is shown to be unconditionally stable. (C) 2004 Elsevier Inc. All rights reserved.