Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines
Küçük Resim Yok
Tarih
2013
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springeropen
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by the method based on collocation of quintic B-splines over the finite elements. A linear stability analysis shows that the numerical scheme based on Von Neumann approximation theory is unconditionally stable. Test problems including the solitary wave motion, the interaction of two and three solitary waves and the Maxwellian initial condition are solved to validate the proposed method by calculating error norms and that are found to be marginally accurate and efficient. The three invariants of the motion have been calculated to determine the conservation properties of the scheme. The obtained results are compared with other earlier results. MSC: 97N40, 65N30, 65D07, 76B25, 74S05.
Açıklama
Anahtar Kelimeler
MRLW equation, collocation, finite element method, B-spline, solitary waves
Kaynak
Boundary Value Problems
WoS Q Değeri
Q1
Scopus Q Değeri
Q3
