Methods for the numerical solution of one-dimensional unsteady problems of gasdynamics

Finite-difference schemes, developed on the basis of conservativity and homogeneity principles, and tolerating the use of wide-mesh grids, are proposed for solving systems of one-dimensional unsteady equations of gasdynamics. A comparative analysis of finite-difference schemes in the form of systems of nonlinear algebraic equations is carried out. It is shown that Newton's iterative method permits the use of networks with the largest steps in the time variable.