Article

Difference upwind scheme for the numerical calculation of stable solutions for a linear hyperbolic system

Nematova DilfuzaDepartment of Computational Mathematics and Iformation Systems, Faculty of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Abstract

In this article, the stability of the difference upwind scheme for the numerical calculation of stable solutions of the mixed dissipative boundary value problem for a linear hyperbolic system of two equations is studied. A discrete analogue of the Lyapunov function is constructed for the numerical values of stable solutions. An a priori estimate is obtained for a discrete analog of the Lyapunov function. Theorems on the exponential stability of the solution of both the differential problem and the difference scheme in the corresponding norms are proved.

Topics

Computational Fluid Dynamics and Aerodynamics Differential Equations and Numerical Methods Numerical methods for differential equations

Identifiers

DOI: 10.1063/5.0057123

Citations and references

Cited by 2 8 references

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