Taylor-Galerkin and Taylor-collocation methods for the numerical solutions of Burgers' equation using B-splines
Yükleniyor...
Dosyalar
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER SCIENCE BV
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, for the numerical solution of Burgers' equation, we give two B-spline finite element algorithms which involve a collocation method with cubic B-splines and a Galerkin method with quadratic B-splines. In time discretization of the equation, Taylor series expansion is used. In order to verify the stabilities of the purposed methods, von-Neumann stability analysis is employed. To see the accuracy of the methods, L-2 and L-infinity error norms are calculated and obtained results are compared with some earlier studies.
Açıklama
Anahtar Kelimeler
Taylor, Galerkin, Collocation, B-spline, Burgers' Equation
Kaynak
Communications in Nonlinear Science and Numerical Simulation
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
16
Sayı
7
