A Galerkin finite element approach to Burgers' equation
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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. © 2003 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Burgers' equation, Finite element methods, Galerkin
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
157
Sayı
2
