Numerical Simulations of the Improved Boussinesq Equation

IRK D., Dag İ.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.26, sa.6, ss.1316-1327, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 6
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1002/num.20492
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1316-1327
  • Anahtar Kelimeler: finite difference method, finite element method, improved Boussinesq equation, soliton, SCHEME
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this study, numerical simulations of the improved Boussinesq equation are obtained using two finite difference schemes and two finite element methods, based on the second-and third-order time discretization. The methods are tested on the problems of propagation of a soliton and interaction of two solitons. After the L(infinity) error norm is used to measure differences between the exact and numerical solutions, the results obtained by the proposed methods are compared with recently published results. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1316-1327, 2010