Numerical simulations of the boussinesq equation by he's variational iteration method
International Journal of Computer Mathematics, cilt.86, sa.4, ss.676-683, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 86 Sayı: 4
- Basım Tarihi: 2009
- Doi Numarası: 10.1080/00207160701689542
- Dergi Adı: International Journal of Computer Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.676-683
- Anahtar Kelimeler: Bad Boussinesq equation, Good Boussinesq equation, Lagrangian multiplier, Nonlinear dispersive waves model, Variational iteration method
- Uşak Üniversitesi Adresli: Hayır
Özet
In this paper, we present a reliable algorithm to study the well-known model of nonlinear dispersive waves proposed by Boussinesq. We solve the Cauchy problem of Boussinesq equation using variational iteration method (VIM). The numerical results of this method are compared with the exact solution of an artificial model to show the efficiency of the method. The approximate solutions show that VIM is a powerful mathematical tool for solving nonlinear problems. © 2009 Taylor & Francis.