A fully implicit finite-difference scheme for two-dimensional Burgers' equations
Küçük Resim Yok
Tarih
2003
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The two-dimensional Burgers' equations are discretized in fully implicit finite-difference form. This scheme leads to a system of nonlinear difference equations to be solved at each time-step. Newton's method is used to solve this nonlinear system. The linear system is solved by a direct method at each iteration of Newton's method. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. The present method performs well. (C) 2002 Published by Elsevier Science Inc.
Açıklama
Anahtar Kelimeler
Burgers' equation, implicit finite-differences
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
137
Sayı
1
