Compact difference schemes for Klein-Gordon equation-Reference-Cited by-同舟云学术

Compact difference schemes for Klein-Gordon equation

Published:2020-11-05 Issue:5 Volume:64 Page:526-533
ISSN:2524-2431
Container-title:Doklady of the National Academy of Sciences of Belarus
language:
Short-container-title:Dokl. Akad. nauk

Author:

Matus P. P.¹,Anh H. T. K.²

Affiliation:

1. 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

2. Belarusian State University

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.

Publisher

Publishing House Belorusskaya Nauka

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