A numerical study of the Burgers' equation

Saka, BÜLENT; Dag, İDİRİS

doi:10.1016/j.jfranklin.2007.10.004

A numerical study of the Burgers' equation

Atıf İçin Kopyala

Saka B., Dag İ.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.345, sa.4, ss.328-348, 2008 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 345 Sayı: 4
Basım Tarihi: 2008
Doi Numarası: 10.1016/j.jfranklin.2007.10.004
Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.328-348
Anahtar Kelimeler: Burgers' equation, modified Burgers' equation, collocation, quintic B-spline
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Time and space splitting techniques are applied to the Burgers' equation and the modified Burgers' equation, and then the quintic B-spline collocation procedure is employed to approximate the resulting systems. Some numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method. Comparisons with both analytical solutions and some published numerical results are done in computational section. (C) 2007 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.