Numerical solutions of Boussinesq equation using Galerkin finite element method
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, Galerkin finite element method has been applied to good Boussinesq (GBq) and bad Boussinesq (BBq) equations which are examples of Boussinesq type equations. To apply the method, cubic B-spline basis functions are taken as element and weight functions. The solutions of the numerical schemes have been obtained using the fourth order Runge-Kutta method. The error norms L-2 and L-infinity have been used to test how compatible they obtained numerical solutions with those of exact ones. As numerical examples, solitary wave motion and interaction of solitary waves have been investigated for both GBq and BBq equation. Also blow-up solutions related to the interaction of two solitary waves are considered for GBq equation.
Açıklama
Anahtar Kelimeler
bad Boussinesq equation, B-spline, finite element method, Galerkin method, good Boussinesq equation, interaction, Runge-Kutta method, solitary wave
Kaynak
Numerical Methods For Partial Differential Equations
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
37
Sayı
2
