Numerical Approximation of the Combined KdV-mKdV Equation via the Quintic B-Spline Differential Quadrature Method
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Adiyaman University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, quintic B-spline differential quadrature method (QBDQM) has been used to obtain the numerical approximation of the combined Korteweg-de Vries and modified Korteweg-de Vries equation (combined KdV-mKdV). The efficiency and effectiveness of the proposed method has been tested by computing the maximum error norm L? and discrete root mean square error L2 . The newly found numerical approximations have been compared to available numerical approximations and this comparison has shown that the proposed method is an efficient one for solving the combined KdV-mKdV equation. We have also carried out a stability analysis. © 2019, Adiyaman University. All rights reserved.
Açıklama
Anahtar Kelimeler
Combined KdV-mKdV equation, Differential quadrature method, Partial differential equations, Quintic B-Splines, Strong stability-preserving Runge-Kutta method
Kaynak
Adiyaman University Journal of Science
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
9
Sayı
2
