A NUMERICAL SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE (MRLW) EQUATION USING QUARTIC B-SPLINES
Küçük Resim Yok
Tarih
2013
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkic World Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by subdomain finite element method using quartic B-spline functions. Solitary wave motion, interaction of two and three solitary waves and the development of the Maxwellian initial condition into solitary waves are studied using the proposed method. Accuracy and efficiency of the proposed method are tested by calculating the numerical conserved laws and error norms L-2 and L-infinity. The obtained results show that the method is an effective numerical scheme to solve the MRLW equation. In addition, a linear stability analysis of the scheme is found to be unconditionally stable.
Açıklama
Anahtar Kelimeler
MRLW equation, Finite element method, Subdomain, Quartic B-Splines, Solitary waves
Kaynak
Twms Journal of Applied and Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
3
Sayı
2
