A Discrete Analogue of the Lyapunov Function for Hyperbolic Systems
نویسندگان
چکیده
We study the difference splitting scheme for numerical calculation of stable solutions a two-dimensional linear hyperbolic system with dissipative boundary conditions in case constant coefficients lower terms. A discrete analogue Lyapunov function is constructed and an priori estimate obtained it. The allows us to assert exponential stability solution.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2022
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-022-06028-y