A Petrov-Galerkin finite element scheme for Burgers' equation

Gardner L. R., Gardner G., DOĞAN A.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.22, ss.99-109, 1997 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 1997
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.99-109
  • Anahtar Kelimeler: Burgers' equation, finite element methods, Petrov-Galerkin
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

Burgers' equation is solved by a Petrov-Galerkin method using quadratic B-spline spatial finite elements. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is obtained via a Crank-Nicolson approach involving a product approximation. Standard problems are solved to assess the properties of the algorithm.