A numerical solution of the Burgers' equation using cubic B-splines
APPLIED MATHEMATICS AND COMPUTATION, cilt.163, sa.1, ss.199-211, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 163 Sayı: 1
- Basım Tarihi: 2005
- Doi Numarası: 10.1016/j.amc.2004.01.028
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.199-211
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
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.