Quadratic B-spline finite element method for numerical solution of the Burgers' equation
Küçük Resim Yok
Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the one-dimensional nonlinear Burgers' equation was converted to a set of nonlinear ordinary differential equations by the method of discretization in time and then each of them was solved by applying the quadratic B-spline finite element method. In order to show the efficiency of the presented method two problems were considered. The numerical solutions obtained for various values of viscosity were compared with the exact solutions. It is seen that the results obtained by this way are quite satisfactory. (c) 2005 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Burgers' equation, the method of discretization in time, Galerkin method, quadratic B-spline finite element method
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
174
Sayı
2