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

Künye