Construction and research of adequate computational models for quasilinear hyperbolic systems

Aloev Rakhmatillo; Khudoyberganov Mirzoali; Blokhin Alexander

doi:10.3934/naco.2018017

Article Contents

2018, Volume 8, Issue 3: 277-289. Doi: 10.3934/naco.2018017

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Construction and research of adequate computational models for quasilinear hyperbolic systems

1.
National University of Uzbekistan, Faculty of Mathematics, 4, Universitetskaya str., Tashkent, Uzbekistan
2.
Sobolev Institute of Mathematics, 4, Acad. Koptyug str., Novosibirsk, Russia

* Corresponding author: Aloev Rakhmatillo, aloev@mail.ru
* Corresponding author: Aloev Rakhmatillo, aloev@mail.ru

Received: April 2017

Revised: October 2017

Published online: September 2018

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Abstract

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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Mathematics Subject Classification: Primary: 65N12.

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Figure 1. Numerical solution by scheme with limiter (40)

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Figure 2. Line is exact solution, point-numerical solution by scheme (40)

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References

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