A Galerkin finite element approach to Burgers' equation

DOĞAN A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.157, sa.2, ss.331-346, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 157 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.08.037
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.331-346
  • Anahtar Kelimeler: Burgers' equation, finite element methods, Galerkin, NUMERICAL-SOLUTION
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

A Galerkin finite element method is presented for the numerical solution of Burgers' equation. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found via a Crank-Nicolson approach involving a product approximation. It is shown that this method is capable of solving Burgers' equation accurately for a wide range of viscosity values. The results show that the new method performs better than the most of the methods available in the literature. (C) 2003 Elsevier Inc. All rights reserved.