Exponential B-Splines for Numerical Solutions to Some Boussinesq Systems for Water Waves

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ERSOY HEPSON Ö., KORKMAZ A., DAĞ İ.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.6, ss.4975-4994, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-016-0787-4
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4975-4994
  • Anahtar Kelimeler: Boussinesq systems, solitary waves, exponential cubic B-spline, collocation, wave generation, COLLOCATION METHOD, EQUATIONS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In the study, the collocation method based on exponential cubic B-spline functions is proposed to solve one-dimensional Boussinesq systems numerically. Two initial boundary value problems for Regularized and Classical Boussinesq systems modeling motion of traveling waves are considered. The accuracy of the method is validated by measuring the error between the numerical and analytical solutions. The numerical solutions obtained by various values of free parameter are compared with some solutions in literature. Numerical behavior of solitary waves under small perturbations is also studied.