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

Irk D.

Kybernetes, cilt.38, sa.9, ss.1599-1620, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 9
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1108/03684920910991568
  • Dergi Adı: Kybernetes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1599-1620
  • Anahtar Kelimeler: Numerical analysis, Cybernetics, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTIONS, GALERKIN METHOD, MESH
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.