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 İndekslerine Giren Dergi)

  • Cilt numarası: 22
  • Basım Tarihi: 1997
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Sayfa Sayısı: ss.99-109

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.