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

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