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A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
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作者 R. D. Aloev Z. K. Eshkuvatov +1 位作者 m. u. khudayberganov N. m. A. Nik Long 《Applied Mathematics》 2018年第7期789-805,共17页
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 ... 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. 展开更多
关键词 HYPERBOLIC SYSTEMS STABILITY QUASILINEAR EQUATIONS
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