A Fully Implicit Finite Difference Approach for Numerical Solution of the Generalized Equal Width (GEW) Equation
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natl Acad Sciences India
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a fully implicit finite difference method is presented to solve the generalized equal width equation. This implicit method allows to handle any values of p. Since the equation is nonlinear the scheme leads to a system of nonlinear equations. At each time step, Newton's method is used to solve this nonlinear system. The linear stability analysis of the proposed method is investigated using von Neumann approach and at the end of this investigation is seen that the method is unconditionally stable. The results are comparisons with analytical and other numerical values clearly show that results obtained using the fully implicit finite difference scheme are precise and reliable.
Açıklama
Anahtar Kelimeler
Generalized equal width equation, Finite differences, Solitary waves
Kaynak
Proceedings of The National Academy of Sciences India Section A-Physical Sciences
WoS Q Değeri
Q3
Scopus Q Değeri
Q4
Cilt
90
Sayı
2
