Sextic B-spline collocation method for the modified Burgers' equation

Irk D.

Kybernetes, vol.38, no.9, pp.1599-1620, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 9
  • Publication Date: 2009
  • Doi Number: 10.1108/03684920910991568
  • Journal Name: Kybernetes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1599-1620
  • Keywords: Numerical analysis, Cybernetics, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTIONS, GALERKIN METHOD, MESH
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Purpose - The purpose of this paper is to investigate the numerical solutions of the Burgers' and modified Burgers' equation using sextic B-spline collocation method. Design/methodology/approach - Crank-Nicolson central differencing scheme has been used for the time integration and sextic B-spline functions have been used for the space integration to the modified and time splitted modified Burgers' equation. Findings - It has been found that the proposed method is unconditionally stable and obtained results are consistent with some earlier published studies. Originality/value - Sextic B-spline collocation method for the Burgers' and modified Burgers' equation is given. © Emerald Group Publishing Limited.