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- Title
On stability of the difference splitting scheme for hyperbolic systems.
- Authors
Aloev, R. D.; Khudoyberganov, M. U.; Nematova, D. E.
- Abstract
We study the difference splitting scheme for the numerical calculation of stable solutions of a two-dimensional linear hyperbolic system with dissipative boundary conditions in the case of constant coefficients with lower terms. A discrete analogue of the Lyapunov function is constructed and an a priori estimate is obtained for it. The obtained a priori estimate allows us to assert the exponential stability of the numerical solution.
- Subjects
HYPERBOLIC functions; NUMERICAL calculations; DIFFERENCE equations; LYAPUNOV functions; STABILITY theory
- Publication
Uzbek Mathematical Journal, 2018, Issue 2, p4
- ISSN
2010-7269
- Publication type
Article
- DOI
10.29229/uzmj.2018-2-1