Mathematical Construction of Interpolation and Extrapolation Function by Taylor Polynomials
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Publication:6335604
arXiv2002.11438MaRDI QIDQ6335604
Author name not available (Why is that?)
Publication date: 26 February 2020
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.
Has companion code repository: https://github.com/Nijatt/interpolation-extrapolation-tylor-series
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