Article

Stability of the upwind difference splitting scheme for symmetric t-hyperbolic systems with constant coefficients

Rakhmatillo AloevNational University of Uzbekistan named after Mizo Ulugbek, 4, University str., Tashkent, 100174, UzbekistanSardor DadabaevAndijan State University, 129, University str., Andijan, 170100, Uzbekistan

Results in Applied Mathematicsjournal2022en

ABI

Abstract

In the paper, we consider a two-hyperbolic system with constant coefficients. Control parameters are entered. We note that coefficients depend on the control parameters. We investigate questions of formulation of mixed problems (problems with initial and boundary conditions) for the system. To determine the numerical solution of the mixed problem, we propose an upwind difference scheme of splitting in directions, which depends on the characteristic velocities. We study the issue of stability of the proposed difference scheme in the energy norm.

Topics

Stability and Controllability of Differential Equations Aquatic and Environmental Studies Differential Equations and Numerical Methods

Identifiers

DOI: 10.1016/j.rinam.2022.100298

Citations and references

Cited by 1 9 references

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