A lumped Galerkin method for solving the Burgers equation
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A numerical solution of the one-dimensional Burgers equation is obtained using a lumped Galerkin method with quadratic B-spline finite elements. The scheme is implemented to solve a set of test problems with known exact solutions. Results are compared with published numerical and exact solutions. The proposed scheme performs well. A linear stability analysis shows the scheme to be unconditionally stable.
Açıklama
Anahtar Kelimeler
the Burgers equation, lumped Galerkin method, quadratic B-splines
Kaynak
International Journal of Computer Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
81
Sayı
11