A Galerkin finite element approach to Burgers' equation

Küçük Resim Yok

Tarih

2004

Yazarlar

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

A Galerkin finite element method is presented for the numerical solution of Burgers' equation. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found via a Crank-Nicolson approach involving a product approximation. It is shown that this method is capable of solving Burgers' equation accurately for a wide range of viscosity values. The results show that the new method performs better than the most of the methods available in the literature. © 2003 Elsevier Inc. All rights reserved.

Açıklama

Anahtar Kelimeler

Burgers' equation, Finite element methods, Galerkin

Kaynak

Applied Mathematics and Computation

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

157

Sayı

2

Künye