Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The main motivation of the current study is to find out better approximate solutions of the modified equal width wave (MEW) equation. In order to achieve this aim, the power of two numerical methods are combined and an extended literature survey has been carried out. Quartic B-spline base functions have been utilized since the first-order and second-order weighting coefficients that are needed for space discretization are obtained directly. As test problems, twelve different applications of single solitary wave and four different applications of the interaction between the two solitary waves are solved successfully. All of the approximate solutions have been compared to nearly fifty various earlier applications existing in the literature. Also, the rate of the convergence is given with error norms. Comparisons show the fact that the current method obtains improved results than most of the common earlier methods.
Açıklama
Anahtar Kelimeler
Finite difference method, differential quadrature method, solitary wave, modified equal width equation, convergence
Kaynak
Journal of Difference Equations and Applications
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
28
Sayı
9
