Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method
Küçük Resim Yok
Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Publication Council
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Cubic B-splines, finite element method, Galerkin, MRLW equation, solitary waves
Kaynak
Kuwait Journal of Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
42
Sayı
2
