Strang time-splitting technique for the generalised Rosenau-RLW equation
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a numerical scheme based on quintic B-spline collocation method using the Strang splitting technique is presented for solving the generalised Rosenau-regularised long wave (RLW) equation given by appropriate initial-boundary values. For this purpose, firstly the problem is split into two subproblems such that each one includes the derivative in the direction of time. Secondly, each subproblem is reduced to a system of ordinary differential equations (ODEs) using collocation finite-element method with quintic B-splines for spatial integration. Then, the resulting ODEs for time integration are solved using the Strang time-splitting technique with the second order via the usual Runge-Kutta (RK-4) algorithm with the fourth order. To measure the accuracy and efficiency of the present scheme, a model problem with an exact solution is taken into consideration and investigated for various values of the parameter p. The error norms L2 and L infinity together with the invariants of discrete mass Q and discrete energy E have been computed and a comparison is given with other ones found in the literature. The convergence order of the present numerical scheme has also been computed. Furthermore, the stability analysis of the scheme is numerically examined.
Açıklama
Anahtar Kelimeler
Rosenau-RLW equation, Strang time-splitting, quintic B-splines, collocation, Runge-Kutta, stability analysis, 2, 60, Jv, 12, 10, Dm, 98, 80, Cq, 11, 30, Hv
Kaynak
Pramana-Journal of Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
95
Sayı
3
