Cubic Trigonometric B-spline Galerkin Methods for the Regularized Long Wave Equation

IRK D., Keskin P.

International Conference on Quantum Science and Applications (ICQSA), Eskişehir, Türkiye, 25 - 27 Mayıs 2016, cilt.766 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 766
  • Doi Numarası: 10.1088/1742-6596/766/1/012032
  • Basıldığı Şehir: Eskişehir
  • Basıldığı Ülke: Türkiye
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A numerical solution of the Regularized Long Wave (RLW) equation is obtained using Galerkin finite element method, based on Crank Nicolson method for the time integration and cubic trigonometric B-spline functions for the space integration. After two different linearization techniques are applied, the proposed algorithms are tested on the problems of propagation of a solitary wave and interaction of two solitary waves.