One Example of Comparison between the Efficiency of Two Approaches to Differential Equations Computational Solution

In this work we present main correlations of ordinary differential equations computational solution, based on the previously suggested interpolator procedure which differs from the known approaches with the application not to the sought-for function but to its derivative. With specific reference we show that this method of ordinary nonlinear differential equations system solving provides an error reduction by a huge ratio in comparison to the three-point difference scheme of the 5th accuracy order.