Numerical scheme based on the implicit Runge–Kutta method and spectral method for calculating nonlinear hyperbolic evolution equations

Autor:	Iwata, Yoritaka, Takei, Yasuhiro
Jazyk:	japonština
Rok vydání:	2022
Předmět:	Implicit Runge–Kutta method High-precision numerical scheme Fourier spectral method
Zdroj:	神奈川工科大学研究報告.B,理工学編. 46:31-40
ISSN:	2188-2878
Popis:	application/pdf Numerical scheme for nonlinear hyperbolic evolution equations is made based on the implicit Runge–Kutta method and the Fourier spectral method. The detail discretization processes are discussed in case of one-dimensional Klein-Gordon equations. In conclusion, a numerical scheme with the third-order accuracy is presented. The order of total calculation cost is equal to O(N log2 N). As benchmark results, the relation between the numerical precision and the discretization unit size is demonstrated.
Databáze:	OpenAIRE
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