Applying Lagrange’s approach to solving a one-dimensional problem of wave propagation in gas in linear formulation

Modelling of one-dimensional wave propagation in gas using various numerical schemes is discussed. Alongside the known schemes a scheme of solving an acoustics problem is proposed using Lagrange’s approach to the description of environment motion. The results of numerical solution for three types of initial conditions are compared to those of analytical solution. Conclusions are drawn as to the applicability of the schemes discussed. The possibility of varying by step over the time without reducing the accuracy of the solution is shown.