Some aspects of extrapolation based on interpolation polynomials

Fìz.-mat. model. ìnf. tehnol. 2021, 33:175-180

  • Yuriy Turbal NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING, Ukraine, 33028, Rivne city, 11 Soborna St.
  • Andriy Bomba NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING, Ukraine, 33028, Rivne city, 11 Soborna St.
  • Mariana Turbal NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING, Ukraine, 33028, Rivne city, 11 Soborna St.
  • Abd Alkaleg Hsen Drivi NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING, Ukraine, 33028, Rivne city, 11 Soborna St.
Keywords: forecast, interpolation, extrapolation, polynomial, Newton-Gregory formula, binomial coefficients, Pascal's triangle

Abstract

The problem of extrapolation on the basis of interpolation polynomials is considered in the paper. A simple computational procedure is proposed to find the predicted value for a polynomial of any degree under conditions of a uniform grid. An algorithm for determining the best polynomial for extrapolation is proposed. To construction of integral transformation for operator of equation of convective diffusion under mixed boundary conditions.

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Published
2021-09-06
How to Cite
Turbal, Y., Bomba, A., Turbal, M., & Alkaleg Hsen Drivi, A. (2021). Some aspects of extrapolation based on interpolation polynomials. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (33), 175-180. https://doi.org/10.15407/fmmit2021.33.175