Sextic B-spline collocation method for the modified Burgers' equation
Kybernetes, cilt.38, sa.9, ss.1599-1620, 2009 (SCI-Expanded, Scopus)
- 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.