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

Künye