A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Tabriz
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present study, the Modified Equal Width (MEW) wave equation is going to be solved numerically by presenting a new technique based on the collocation finite element method in which trigonometric cubic B-splines are used as approximate functions. In order to support the present study, three test problems; namely, the motion of a single solitary wave, the interaction of two solitary waves, and the birth of solitons are studied. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the numerical conserved laws as well as the error norms L2 and Loo.
Açıklama
Anahtar Kelimeler
Finite element method, Collocation method, Solitary waves, Modified equal width equation, Trigonometric B-splines
Kaynak
Computational Methods For Differential Equations
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
10
Sayı
4
