A Numerical Approach to the Rosenau-KdV equation using Galerkin Cubic Finite Element Method
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Centre Environment Social & Economic Research Publ-Ceser
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a Galerkin finite element method has been used to solve numerically the Rosenau-KdV equation using cubic B-spline functions. The system of ordinary differential equations obtained in terms of element parameters by the application of the method has been solved by using the fourth order Runge-Kutta method. The error norms L-2 and L-infinity together with invariants I-1 and I-2 have been calculated to show the accuracy and efficiency of the method. The computed results have been compared with exact values and also other numerical results available in the literature.
Açıklama
Anahtar Kelimeler
Galerkin finite element method, Rosenau-KdV equation, Runge-Kutta method, cubic B-spline, solitary wave
Kaynak
International Journal of Applied Mathematics & Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
56
Sayı
3
