Open AccessCompact difference schemes for Klein-Gordon equation
Author(s) -
П. П. Матус,
Х. Т. К. Ань
Publication year - 2020
Publication title -
doklady nacionalʹnoj akademii nauk belarusi
Language(s) - English
Resource type - Journals
eISSN - 2524-2431
pISSN - 1561-8323
DOI - 10.29235/1561-8323-2020-64-5-526-533
Subject(s) - mathematics , perturbation (astronomy) , convergence (economics) , klein–gordon equation , stability (learning theory) , mathematical analysis , order (exchange) , nonlinear system , physics , computer science , quantum mechanics , finance , machine learning , economics , economic growth
In this paper, we consider compact difference approximation of the fourth-order schemes for linear, semi-linear, and quasilinear Klein-Gordon equations. with respect to a small perturbation of initial conditions, right-hand side, and coefficients of the linear equations the strong stability of difference schemes is proved. The conducted numerical experiment shows how Runge rule is used to determine the orders of convergence of the difference scheme in the case of two independent variables.