Quadratic B-spline finite element method for numerical solution of the Burgers' equation

Aksan E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.174, sa.2, ss.884-896, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.05.020
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.884-896
  • İnönü Üniversitesi Adresli: Hayır

Özet

In this paper, the one-dimensional nonlinear Burgers' equation was converted to a set of nonlinear ordinary differential equations by the method of discretization in time and then each of them was solved by applying the quadratic B-spline finite element method. In order to show the efficiency of the presented method two problems were considered. The numerical solutions obtained for various values of viscosity were compared with the exact solutions. It is seen that the results obtained by this way are quite satisfactory. (c) 2005 Elsevier Inc. All rights reserved.