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Blokhin A.M., Aloev R.D. Energy integrals and thier applications to investigation of stability of difference schemes. Novosibirsk, 1993. 224 p.

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Article

One Class of Stable Difference Schemes for Hyperbolic System

1Differential Equations, Novosibirsk Institute of Mathematics, Novosibirsk, Russian

2Computations technologies and mathematical modeling, National University of Uzbekistan, Tashkent, Uzbekistan


American Journal of Numerical Analysis. 2014, Vol. 2 No. 3, 85-89
DOI: 10.12691/ajna-2-3-4
Copyright © 2014 Science and Education Publishing

Cite this paper:
A.M. Blokhin, R.D. Alaev, M.U. Hudayberganov. One Class of Stable Difference Schemes for Hyperbolic System. American Journal of Numerical Analysis. 2014; 2(3):85-89. doi: 10.12691/ajna-2-3-4.

Correspondence to: M.U.  Hudayberganov, Computations technologies and mathematical modeling, National University of Uzbekistan, Tashkent, Uzbekistan. Email: mirzoali@mail.ru

Abstract

It is suggested one class of difference schemes for hyperbolic systems of equations, which have several forms of writing. Stability of suggested difference schemes is investigated with the help of technics of integrals energy. Numerical results of model problems are given.

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