A Lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled MKdV equations
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tbilisi Centre Math Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present study, a Lumped Galerkin finite element method using quadratic B-splines has been applied to the generalized Hirota-Satsuma coupled Korteweg de Vries (KdV) and coupled modified Korteweg-de Vries (mKdV) equations. The numerical solutions of discretized equations using Lumped Galerkin finite element method have been obtained using the fourth order Runge-Kutta method which is widely used for the solution of ordinary differential equation system. The numerical solutions obtained for various space and time values have been compared with exact ones using the error norms L-2 and L-infinity. Lumped Galerkin finite element method is an effective one which can be applied to a wide range of nonlinear evolution equations.
Açıklama
Anahtar Kelimeler
the generalized Hirota-Satsuma coupled KdV and coupled mKdV, finite element method, Galerkin method, B-spline, Runge-Kutta
Kaynak
Tbilisi Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
12
Sayı
3
