Approximation of the KdVB equation by the quintic B-spline differential quadrature method
Küçük Resim Yok
Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Publication Council
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the Korteweg-de Vries-Burgers' (KdVB) equation is solved numerically by a new differential quadrature method based on quintic B-spline functions. The weighting coefficients are obtained by semi-explicit algorithm including an algebraic system with five-band coefficient matrix. The L-2 and L-infinity error norms and lowest three invariants I-1, I-2 and I-3 have computed to compare with some earlier studies. Stability analysis of the method is also given. The obtained numerical results show that the present method performs better than the most of the methods available in the literature.
Açıklama
Anahtar Kelimeler
KdVB equation, differential quadrature method, quintic B-splines, partialdifferential equation, stability
Kaynak
Kuwait Journal of Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
42
Sayı
2
