Maqola

Exponential Stability of the Numerical Solution of a Hyperbolic System with Nonlocal Characteristic Velocities

Rakhmatillo AloevDepartment of Computational Mathematics and Information Systems, Faculty of Applied Mathematics and Intellectual Technology, Ulugbek National University of Uzbekistan, Tashkent 100174, UzbekistanAbdumauvlen BerdyshevInstitute of Information and Computational Technologies SC MES, Almaty 050010, KazakhstanVasila AlimovaDepartment of Computational Mathematics and Information Systems, Faculty of Applied Mathematics and Intellectual Technology, Ulugbek National University of Uzbekistan, Tashkent 100174, UzbekistanKymbat BekenayevaDepartment of Mathematics and Mathematical Modelling, Institute of Mathematics, Physics and Informatics, Abai Kazakh National Pedagogical University, Almaty 050000, Kazakhstan

Axiomsjournal2024en

Ochiq kirishOltin

Litsenziya: cc-by

Manbada oʻqishdoi.org(yangi oynada ochiladi)

ABI

Annotatsiya

In this paper, we investigate the problem of the exponential stability of a stationary solution for a hyperbolic system with nonlocal characteristic velocities and measurement error. The formulation of the initial boundary value problem of boundary control for the specified hyperbolic system is given. A difference scheme is constructed for the numerical solution of the considered initial boundary value problem. The definition of the exponential stability of the numerical solution in ℓ2-norm with respect to a discrete perturbation of the equilibrium state of the initial boundary value difference problem is given. A discrete Lyapunov function for a numerical solution is constructed, and a theorem on the exponential stability of a stationary solution of the initial boundary value difference problem in ℓ2-norm with respect to a discrete perturbation is proved.

Hali tarjima qilinmagan

Mavzular

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Stability and Controllability of Differential Equations

Identifikatorlar

DOI: 10.3390/axioms13050334

Iqtiboslar va manbalar

0 ta iqtibos28 ta foydalanilgan manba