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NUMERCIAL SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL GAS DYNAMICS IN THE CLASS OF DISCONTINUOUS FUNCTIONS

Authors: Alıyev E.; Rasulov M.; Xalılov M.;

NUMERCIAL SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL GAS DYNAMICS IN THE CLASS OF DISCONTINUOUS FUNCTIONS

Abstract

References: 1. Abasov M.T., Rasulov, M.A., Ibrahimov T.M., Ragimova T.A. On a method of Solving the Cauchy Problem for a First Order Nonlinear Equation of Hyperbolic Type with a Smooth Initial Condition, Soviet Math. Dok. 43, No.1, pp.150-153, 1991. 2. LeVeque, R.J., Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002, 558 p. 3. Rasulov, M.A., Ragimova, T.A. A Numerical Method of the Solution of Nonlinear Equation of a Hyperbolic Type of the First Order Differential Equations, Minsk, Vol. 28, No.7, pp. 2056-2063, 1992.

Abstract In this study, we will prepare a spatial auxiliary problem for the developed numerical method to solve the initial-boundary value problem for the first-order nonlinear partial differential system of equations that describes the one-dimensional motion of isentropic gas as follows

Keywords

numerical solutions, one-dimensional gas dynamics, discontinuous functions, isentropic gas, isentropic gas motion

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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