Computer modelling of calculating functions of one variable and their derivatives

Аннотация

Presented the scheme of piecewise polynomial calculation of functions of one real variable based on Newton’s interpolation polynomial. The segment is divided into subintervals, at each of which the function is approximated by the arithmetic mean of Newton’s polynomials for forward and backward interpolation. Developed Software for calculating functions of one variable and derivatives, where the number of subintervals and the degree of the polynomial are selected programmatically in such a way as to minimize the absolute error in the approximation of the function and their derivatives. Comparative results of numerical experiments are presented.