Numerical solutions of the differential equations

Abstract

In this paper, we propose to study the numerical integration of Cauchy's problem (PC-in short) for a system of differential equations of the first order by the method of successive approximations and the method of the polygonal line, the best known in practice. For example, the methods are applied to some particular functions. The novelty of this paper consists, mainly, in the translation of existing approximation methods into C++ code, in order to visualize the results including the graphic image of both approximate and exact values trajectories, for comparison.