A simple similarity-transformation-iterative scheme applied to Korteweg-de Vries equation
Küçük Resim Yok
Tarih
2006
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we apply a simple iterative scheme and give an algorithm to solve the reduced Korteweg-de Vries equation by a scaled similarity-transformation. The obtained numerical solutions are valid for the whole solution domain. Results obtained by the method have been compared with the solution of Marchant and Smyth [T.R. Marchant, N.F. Smyth, Initial-boundary value problems for the KdV equations, IMA J. Appl. Math. 47 (1991) 247-264] and are found to be in good agreement with each other. (c) 2005 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Korteweg-de Vries equation, similarity-transformation, finite-difference
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
173
Sayı
1