Two efficient numerical methods for solving Rosenau-KdV-RLW equation
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Publication Council
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, two efficient numerical schemes based on B-spline finite element method (FEM) and time-splitting methods for solving Rosenau-KdV-RLW equation are presented. In the first method, the equation is solved by cubic B-spline Galerkin FEM. For the second method, after splitting Rosenau-KdV-RLW equation in time, it is solved by Strang timesplitting technique using cubic B-spline Galerkin FEM. The differential equation system in the methods is solved by the fourth-order Runge-Kutta method. The stability analysis of the methods is performed. Both methods are applied to an example. The obtained numerical results are compared with some methods available in the literature via the error norms L-2 and L-infinity, convergence rates, and mass and energy conservation constants. The present results are found to be consistent with the compared ones.
Açıklama
Anahtar Kelimeler
Cubic B-spline functions, Galerkin method, Rosenau-KdV-RLW, Strang time-splitting
Kaynak
Kuwait Journal of Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
48
Sayı
1
