Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method
KUWAIT JOURNAL OF SCIENCE, cilt.42, sa.2, ss.141-159, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 2
- Basım Tarihi: 2015
- Dergi Adı: KUWAIT JOURNAL OF SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.141-159
- Anahtar Kelimeler: Cubic B-splines, finite element method, Galerkin, MRLW equation, solitary waves, LONG-WAVE EQUATION, SOLITARY WAVES, MODEL
- İnönü Üniversitesi Adresli: Evet
Özet
In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave motion, interaction of two and three solitary waves have been studied to validate the proposed method. The three invariants (I-1, I-2, I-3) of the motion have been calculated to determine the conservation properties of the scheme. Error norms L-2 and L-infinity have been used to measure the differences between the exact and numerical solutions. Also, a linear stability analysis of the scheme is proposed.