B-spline collocation methods for numerical solutions of the Burgers' equation

Creative Commons License

Dag İ., Irk D., Sahin A.

MATHEMATICAL PROBLEMS IN ENGINEERING, no.5, pp.521-538, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: Issue: 5
  • Publication Date: 2005
  • Doi Number: 10.1155/mpe.2005.521
  • Journal Name: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.521-538
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Both time- and space-splitted Burgers' equations are solved numerically. Cubic B-spline collocation method is applied to the time-splitted Burgers' equation. Quadratic B-spline collocation method is used to get numerical solution of the space-splitted Burgers' equation. The results of both schemes are compared for some test problems.