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


Ozis T., Ozer S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.173, ss.19-32, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 173 Konu: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.02.059
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.19-32

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.