A simple similarity-transformation-iterative scheme applied to Korteweg-de Vries equation

Ozis T., Ozer S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.173, sa.1, ss.19-32, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 173 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.02.059
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.19-32
  • Anahtar Kelimeler: Korteweg-de Vries equation, similarity-transformation, finite-difference, ORDINARY DIFFERENTIAL-EQUATIONS, LINEAR EVOLUTION-EQUATIONS, DEVRIES EQUATION, DECOMPOSITION METHOD, GALERKIN METHODS, SOLITARY WAVES, KDV EQUATION, EXISTENCE, MODEL
  • İnönü Üniversitesi Adresli: Evet

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.