  In this paper, we study the Cauchy problem for the Riccati differential
equation with constant coefficients and a modified Gerasimov-Caputo type
fractional differential operator of variable order. Using Newton's numerical
algorithm, calculation curves are constructed taking into account different
values of the Cauchy problem parameters. The calculation results are compared
with the previously obtained results. The computational accuracy of the
numerical algorithm is investigated. It is shown using the Runge rule that the
computational accuracy tends to the accuracy of the numerical method when
increasing the nodes of the calculated grid.
