A mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the Regularized Long Wave equation
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of the present work is to obtain numerical solutions of the solitary wave, undular bore and boundary-forced problems for Regularized Long Wave (RLW) equation. For this purpose, low-order modified cubic B-spline is chosen as base functions. Crank-Nicolson formulae combined with efficient space discretization method have been applied. With the aid of Rubin and Graves type linearization technique, nonlinear terms are linearized and a solvable linear equation system has been obtained. Three significant test problems in the literature are solved successfully. The present algorithm has obtained high accurate numerical solutions of the RLW equation. Numerical results are compared with those of some earlier ones and given. The rates of the convergence are also investigated.
Açıklama
Anahtar Kelimeler
Finite difference method, Differential quadrature method, RLW equation, Convergence
Kaynak
Computational & Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
41
Sayı
4
