A lumped Galerkin method for solving the Burgers equation

Kutluay S., Esen A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.81, sa.11, ss.1433-1444, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 81 Sayı: 11
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1080/00207160412331286833
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1433-1444
  • Anahtar Kelimeler: the Burgers equation, lumped Galerkin method, quadratic B-splines, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTION, BOUNDARY, EXPLICIT
  • İnönü Üniversitesi Adresli: Evet

Özet

A numerical solution of the one-dimensional Burgers equation is obtained using a lumped Galerkin method with quadratic B-spline finite elements. The scheme is implemented to solve a set of test problems with known exact solutions. Results are compared with published numerical and exact solutions. The proposed scheme performs well. A linear stability analysis shows the scheme to be unconditionally stable.