Numerical Solutions of the Improved Boussinesq Equation by the Galerkin Quadratic B-Spline Finite Element Method

KARAAĞAÇ B., UÇAR Y., ESEN A.

FILOMAT, cilt.32, sa.16, ss.5573-5583, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 16
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1816573k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5573-5583
  • Anahtar Kelimeler: Improved Boussinesq equation, finite element method, Galerkin method, quadratic B-spline, solitary waves, SCHEME
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we are going to obtain numerical solutions of the improved Boussinesq equation with the aid of Galerkin quadratic B-spline finite element method. To test the accuracy and efficiency of the current method, four test problems have been used. These are solitary wave movement, interaction of two solitary waves, wave break-up and blow-up of solutions. Their results have been compared with those available in the literature for different values of space and time steps. Also, the error norms L-2 and L-infinity have been computed and presented in comparison.