Numerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, the equal width (EW) equation is going to be solved numerically. In order to show the accuracy of the presented method, six test problems namely single solitary wave, interaction of two solitary waves, interaction of three solitary waves, Maxwellian initial condition, undular bore, and soliton collision are going to be solved. For the first test problem, since it has exact solution, the error norms L-2 and L-infinity are going to be calculated and compared with some of the earlier studies existing in the literature. Moreover, the three invariants I-1, I-2, and I-3 of the given problems during the simulations are calculated and tabulated. Besides those comparisons, the relative changes of the invariants are given. Finally, a comparison of those error norms and invariants has clearly shown that the present approach obtained compatible and better results than most of the earlier works by using the same parameters.
Açıklama
Anahtar Kelimeler
collocation method, equal width equation, finite element method, solitary waves, trigonometric B-splines
Kaynak
Numerical Methods For Partial Differential Equations
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
36
Sayı
5
