The Construction and Research of the Modified “Upwind Leapfrog” Difference Scheme with Improved Dispersion Properties for the Korteweg–de Vries Equation

This paper covers the construction and research of a scheme to solve the problem with nonlinear dispersion wave equations, described by the model Korteweg–de Vries equation. The article proposes approximating the equation based on improved “Upwind Leapfrog” schemes. Its difference operator is a line...

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Detalhes bibliográficos

Principais autores:	Alexander Sukhinov, Alexander Chistyakov, Elena Timofeeva, Alla Nikitina, Yulia Belova
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2022-08-01
Colecção:	Mathematics
Assuntos:	mathematical model Korteweg–de Vries equation numerical simulation difference “Upwind Leapfrog” scheme difference “Standard Leapfrog” scheme parallel computing
Acesso em linha:	https://www.mdpi.com/2227-7390/10/16/2922
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