Numerical solution of Burgers' equation by quadratic B-spline finite elements
Küçük Resim Yok
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a Galerkin quadratic B-spline finite element method is used to solve numerically the one-dimensional Burgers' equation reduced by the Hopf-Cole transformation. The performance of the method is tested on two model problems involving moderately Reynolds numbers with known exact solutions. The obtained numerical results show that the method is efficient, robust and reliable for solving Burgers' equation accurately even involving high Reynolds numbers for which the exact solution fails. Computed results are compared with other numerical results in the literature. A stability analysis of the method is also investigated. (c) 2004 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Burgers' equation, Galerkin method, quadratic B-splines
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
165
Sayı
1
