A Quadratic B-Spline Galerkin Approach for Solving a Coupled KdV Equation

KUTLUAY S., UÇAR Y.

MATHEMATICAL MODELLING AND ANALYSIS, cilt.18, sa.1, ss.103-121, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3846/13926292.2013.760011
  • Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.103-121
  • Anahtar Kelimeler: coupled KdV equation, finite element method, Galerkin method, quadratic B-spline, Fourier stability analysis, TRAVELING-WAVE SOLUTIONS, NUMERICAL-SOLUTION, SYSTEM, SYMMETRIES
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, a quadratic B-spline Galerkin finite element approach is applied to one-dimensional coupled KdV equation in order to obtain its numerical solutions. The performance of the method is examined on three test problems. Computed results are compared with the exact results and also other numerical results given in the literature. A Fourier stability analysis of the approach is also done.