Mathematical formulation for the numerical solution of the internal ballistics of classical weapons in Lagrangian coordinates

Abstract Today, most design processes are carried out using specialized tools in the form of advanced computer software, but case designing weapons (especially internal ballistic) it is not generally available or even classified. On other hand, there no analytical system non-linear differential equations describing phases shot phenomenon barrel weapons. Therefore, order to obtain more accurate solutions equations, optimal use numerical methods. The paper presents a theoretical description problem solving ballistics. Based on this analysis, was assumed that solution main ballistics formulated Lagrange coordinates gives correct results and enables obtaining realistic than classical solutions. utilitarian aim create new program support classic gun tube