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

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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Bibliographic Details
Main Authors: Alexander Sukhinov, Alexander Chistyakov, Elena Timofeeva, Alla Nikitina, Yulia Belova
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
mathematical model
Korteweg–de Vries equation
numerical simulation
difference “Upwind Leapfrog” scheme
difference “Standard Leapfrog” scheme
parallel computing
Online Access:https://www.mdpi.com/2227-7390/10/16/2922

Internet

https://www.mdpi.com/2227-7390/10/16/2922

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