eng Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2014-04-02 2 3 85 89 10.12691/ajna-2-3-4 AJNA2014234 article A.M. Blokhin 1 R.D. Alaev 2 M.U. Hudayberganov mirzoali@mail.ru 2 Differential Equations, Novosibirsk Institute of Mathematics, Novosibirsk, Russian Computations technologies and mathematical modeling, National University of Uzbekistan, Tashkent, Uzbekistan 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. http://pubs.sciepub.com/ajna/2/3/4/ajna-2-3-4.pdf hyperbolic system difference schemes stability energy norm