Stability analysis of a weighted difference scheme for two-dimensional hyperbolic equations with integral conditions
Date
2019-01-10
Authors
Sapagovas, Mifodijus
Novickij, Jurij
Stikonas, Arturas
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider two-dimensional hyperbolic equations with nonlocal purely integral conditions. We analyze the spectral properties of the finite difference scheme for the two-dimensional hyperbolic problem. To analyze the stability of a weighted difference scheme, we investigate the spectrum of a finite difference operator, subject to integral conditions.
Description
Keywords
Nonlocal boundary conditions, Hyperbolic equations, Spectrum of finite difference operator, Stability of finite difference scheme
Citation
Sapagovas, M., Novickij, J., & Stikonas, A. (2019). Stability analysis of a weighted difference scheme for two-dimensional hyperbolic equations with integral conditions. <i>Electronic Journal of Differential Equations, 2019</i>(04), pp. 1-13.
Rights
Attribution 4.0 International