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Construction and research of adequate computational models for quasilinear hyperbolic systems

Rakhmatillo AloevM. U. KhudoyberganovNational University of Uzbekistan, Faculty of Mathematics, 4, Universitetskaya str., Tashkent, UzbekistanBlokhin AlexanderSobolev Institute of Mathematics, 4, Acad. Koptyug str., Novosibirsk, Russia
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In the paper, we study a class of three-dimensional quasilinear hyperbolic systems. For such system, we set the initial boundary value problem and construct the energy integral. We construct the difference scheme and obtain an a priori estimate for its solution.

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