A small time solutions for the Korteweg-de Vries equation

Kutluay S., Bahadir A. R., Ozdes A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.107, ss.203-210, 2000 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 107
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0096-3003(98)10119-4
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.203-210
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper a heat balance integral (HBI) method is applied to the one-dimensional non-linear Korteweg-deVries (KdV) equation prescribed by appropriate homogenous boundary conditions and a set of initial conditions to obtain its approximate analytical solutions at small times. It is shown that the HBI solutions obtained by the method may be used effectively at small times when the exact solution of the KdV equation is not known. (C) 2000 Elsevier Science Inc. All rights reserved.