Mathematical Construction of Interpolation and Extrapolation Function by Taylor Polynomials
Numerical Analysis
2020-02-27 v1 Numerical Analysis
Abstract
In this present paper, I propose a derivation of unified interpolation and extrapolation function that predicts new values inside and outside the given range by expanding direct Taylor series on the middle point of given data set. Mathematical construction of experimental model derived in general form. Trigonometric and Power functions adopted as test functions in the development of the vital aspects in numerical experiments. Experimental model was interpolated and extrapolated on data set that generated by test functions. The results of the numerical experiments which predicted by derived model compared with analytical values.
Cite
@article{arxiv.2002.11438,
title = {Mathematical Construction of Interpolation and Extrapolation Function by Taylor Polynomials},
author = {Nijat Shukurov},
journal= {arXiv preprint arXiv:2002.11438},
year = {2020}
}
Comments
12 pages, 6 figures