TRIGONOMETRIC B-SPLINE COLLOCATION ALGORITHM FOR SOLVING THE RLW EQUATION

DAĞ İ., IRK D., Kacmaz O., Adar N.

APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.15, sa.1, ss.96-105, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.96-105
  • Anahtar Kelimeler: Collocation Method, Trigonometric Cubic B-spline, Regularized Long Wave Equation, Solitary Waves, NUMERICAL-SOLUTION, WAVES, MODEL
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, an application of the trigonometric B-splines is presented so that a collocation method based on the trigonometric cubic B-spline function is developed to obtain numerical solutions of the RLW equation. To assess the accuracy of the method, numerical solitary wave solutions and conserved quantities are compared with both analytical solutions and some previous results. Propagation, undulation and generation of the solitary waves have been studied to exhibit the true solitary wave behaviors.