A Fourier Pseudospectral Method for a Generalized Improved Boussinesq Equation

Borluk H., Muslu G. M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.31, sa.4, ss.995-1008, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1002/num.21928
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.995-1008
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this article, we propose a Fourier pseudospectral method for solving the generalized improved Boussinesq equation. We prove the convergence of the semi-discrete scheme in the energy space. For various power nonlinearities, we consider three test problems concerning the propagation of a single solitary wave, the interaction of two solitary waves and a solution that blows up in finite time. We compare our numerical results with those given in the literature in terms of numerical accuracy. The numerical comparisons show that the Fourier pseudospectral method provides highly accurate results. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 995-1008, 2015