Operator time-splitting techniques combined with quintic B-spline collocation method for the generalized Rosenau-KdV equation
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, the generalized Rosenau-KdV equation is split into two subequations such that one is linear and the other is nonlinear. The resulting subequations with the prescribed initial and boundary conditions are numerically solved by the first order Lie-Trotter and the second-order Strang time-splitting techniques combined with the quintic B-spline collocation by the help of the fourth order Runge-Kutta (RK-4) method. To show the accuracy and reliability of the proposed techniques, two test problems having exact solutions are considered. The computed error norms L-2 and L-infinity with the conservative properties of the discrete mass Q(t) and energy E(t) are compared with those available in the literature. The convergence orders of both techniques have also been calculated. Moreover, the stability analyses of the numerical schemes are investigated.
Açıklama
Anahtar Kelimeler
quintic B-spline collocation method, Rosenau-KdV equation, Runge-Kutta method, splitting techniques, stability analysis
Kaynak
Numerical Methods For Partial Differential Equations
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
35
Sayı
6
