TITLE:
A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
AUTHORS:
R. D. Aloev, Z. K. Eshkuvatov, M. U. Khudayberganov, N. M. A. Nik Long
KEYWORDS:
Hyperbolic Systems, Stability, Quasilinear Equations
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.7,
July
13,
2018
ABSTRACT: The class of three-dimensional quasilinear hyperbolic systems is studied. The
initial boundary value problem for this class of quasilinear hyperbolic systems
is given. By constructing the energy’s integral, a priori estimate for the solution
of the initial boundary value problem is obtained. Difference scheme is
constructed and an a priori estimate for its solution is obtained. Numerical
example exhibits the efficiency and accuracy of the method.