Numerical solution of the Rosenau-KdV-RLW equation by operator splitting techniques based on B-spline collocation method
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present study, the operator splitting techniques based on the quintic B-spline collocation finite element method are presented for calculating the numerical solutions of the Rosenau-KdV-RLW equation. Two test problems having exact solutions have been considered. To demonstrate the efficiency and accuracy of the present methods, the error norms L-2 and L-infinity with the discrete mass Q and energy E conservative properties have been calculated. The results obtained by the method have been compared with the exact solution of each problem and other numerical results in the literature, and also found to be in good agreement with each other. A Fourier stability analysis of each presented method is also investigated.
Açıklama
Anahtar Kelimeler
collocation method, quintic B-spline functions, Rosenau-KdV-RLW, time splitting
Kaynak
Numerical Methods For Partial Differential Equations
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
35
Sayı
5
