Numerical solution of one-dimensional Burgers equation: explicit and exact-explicit finite difference methods

Kutluay, SELÇUK; Bahadir, AHMET; Ozdes, ALİ

doi:10.1016/s0377-0427(98)00261-1

Numerical solution of one-dimensional Burgers equation: explicit and exact-explicit finite difference methods

Atıf İçin Kopyala

Kutluay S., Bahadir A. R., Ozdes A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.103, sa.2, ss.251-261, 1999 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 103 Sayı: 2
Basım Tarihi: 1999
Doi Numarası: 10.1016/s0377-0427(98)00261-1
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.251-261
İnönü Üniversitesi Adresli: Evet

Özet

This paper presents finite-difference solution and analytical solution of the finite-difference approximations based on the standard explicit method to the one-dimensional Burgers equation which arises frequently in the mathematical modelling used to solve problems in fluid dynamics. Results obtained by these ways for some modest values of viscosity have been compared with the exact (Fourier) one. It is shown that they are in good agreement with each other. (C) 1999 Elsevier Science B.V. All rights reserved. AMS classification 65N06.