Quantitative evaluations of stability and convergence for solutions of semilinear Klein–Gordon equation

JSIAM Letters 2026 Open access

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Authors: Takuya Tsuchiya, Makoto Nakamura
DOI: 10.14495/jsiaml.18.9
Cited by: 0

Abstract

We perform some simulations of the semilinear Klein–Gordon equation with a power-law nonlinear term and propose each of the quantitative evaluation methods for the stability and convergence of numerical solutions. We also investigate each of the thresholds in the methods by varying the amplitude of the initial value and the mass, and propose appropriate values.

Fields of Study & Subjects

Numerical methods for differential equations Fractional Differential Equations Solutions Nonlinear Photonic Systems

Publication details

Journal / source
JSIAM Letters
Volume
18
Issue
0
Pages
9–12
Publication date
1 January 2026
Language
EN