Numerical Scheme Based on the Implicit Runge-Kutta Method and Spectral Method for Calculating Nonlinear Hyperbolic Evolution Equations

Numerical Scheme Based on the Implicit Runge-Kutta Method and Spectral Method for Calculating Nonlinear Hyperbolic Evolution Equations

A numerical scheme for nonlinear hyperbolic evolution equations is made based on the implicit Runge-Kutta method and the Fourier spectral method. The detailed discretization processes are discussed in the case of one-dimensional Klein-Gordon equations. In conclusion, a numerical scheme with third-or...

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Bibliographic Details
Main Authors: Yasuhiro Takei, Yoritaka Iwata
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Axioms
Subjects:
implicit Runge-Kutta method
Fourier spectral method
high-precision numerical scheme
Online Access:https://www.mdpi.com/2075-1680/11/1/28

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