Taylor-Galerkin method for advection-diffusion equation
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Dosyalar
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerand Group Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Purpose - The purpose of this paper is to provide numerical solutions of the time-dependent advection-diffusion problem by using B-spline finite element methods in which Taylor series expansion is used for the related time discretization. Design/methodology/approach - The solution domain is partitioned into uniform mesh. The collocation and the Galerkin methods where B-spline functions are used as base functions are applied to advection-diffusion equation. Findings - Given methods are unconditionally stable and the obtained results are comparable with some earlier studies in terms of accuracy. Originality/value - Quadratic and cubic B-spline base functions are used with Taylor series expansion for the discretization of the equation.
Açıklama
Anahtar Kelimeler
Cybernetics, Diffusion, Polynomials
Kaynak
Kybernetes
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
40
Sayı
5
