Different linearization techniques for the numerical solution of the MEW equation
Yükleniyor...
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The modified equal width wave (MEW) equation is solved numerically by giving two different linearization techniques based on collocation finite element method in which cubic B-splines are used as approximate functions. To support our work three test problems; namely, the motion of a single solitary wave, interaction of two solitary waves and the birth of solitons are studied. Results are compared with other published numerical solutions available in the literature. Accuracy of the proposed method is discussed by computing the numerical conserved laws L2 and L? error norms. A linear stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable
Açıklama
URL: http://sjam.selcuk.edu.tr/sjam/article/view/97
Anahtar Kelimeler
Finite element method, Collocation, MEW equation, B-Spline, Solitary waves, Sonlu elemanlar yöntemi, Eşdizimlilik, MEW denklemi, Soliter dalgalar
Kaynak
Selcuk Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
Künye
Karakoç, S. B. G., Uçar, Y., Yağmurlu, N. M. (2012). Different linearization techniques for the numerical solution of the MEW equation. Selcuk Journal of Applied Mathematics, 13 (2), 43-62.
