A lumped Galerkin method for solving the Burgers equation

Küçük Resim Yok

Tarih

2004

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

Künye