Single soliton and double soliton solutions of the quadratic-nonlinear Korteweg-de Vries equation for small and long-times
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, numerical solutions of the seven different forms of the single soliton and double soliton solutions of the Korteweg-de Vries equation are investigated. Since numerical solution of the six test problems for small-times do not exist in the literature, the present numerical results firstly are reported with exact solutions. Besides small-time solutions, long-time solutions of all test problems are obtained and compared with some of the earlier works. Present algorithm which is based on combination of finite difference method and differential quadrature method have obtained superior results than those in the given literature. Numerical and exact solutions for small-time of all test problems are plotted together for all test problems. Since the numerical results are too close to exact solutions the graphs are indistinguishable. Numerical simulations for long-time solutions are plotted and the error graphs are plotted for the end of the simulations of all test problems.
Açıklama
Anahtar Kelimeler
B-spline, differential quadrature method, finite difference method, KdV equation, soliton
Kaynak
Numerical Methods For Partial Differential Equations
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
37
Sayı
2
