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

Dag İ., Irk D., Saka B.

APPLIED MATHEMATICS AND COMPUTATION, vol.163, no.1, pp.199-211, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 163 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.01.028
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.199-211
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.