Compact difference schemes for Klein-Gordon equation
https://doi.org/10.29235/1561-8323-2020-64-5-526-533
Abstract
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.
About the Authors
P. P. Matus
Institute of Mathematics of the National Academy of Sciences of Belarus; Institute of Mathematics and Computer Science The John Paul II Catholic University of Lublin
Belarus
Belarus
Matus Piotr P. - Corresponding Member, D. Sc. (Physics and Mathematics), Professor, Chief researcher, Institute of Mathematics of the National Academy of Sciences of Belarus.
11, Surganov Str., 220072, Minsk.
H. T. K. Anh
Belarusian State University
Belarus
Belarus
Hoang Thi Kieu Anh - Postgraduate student, Belarusian State University.
4, Niezavisimosti Ave., 220030, Minsk.
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