A collocation method for the numerical solution of the RLW equation using cubic B-spline basis

Saka B., Dag İ.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.30, ss.39-50, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30
  • Basım Tarihi: 2005
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.39-50
  • Anahtar Kelimeler: finite elements, collocation, splines, solitary waves, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, SOLITARY WAVES
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The cubic B-spline functions and splitting method have been used to develop a new algorithm based on the collocation method to solve Regularized Long Wave (RLW) Equations. The method is validated by studying solitary wave motion, two solitary-wave interaction, the evolution of solitary waves, and undular bore development.