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Talk · IOP Conference Series Materials Science and Engineering · May 1, 2020

Algorithm for determining the coefficients of the interpolation polynomial of Newton with separated differences

N A Niyozmatova, Narzillo Mamatov, Abdurashid Samijonov, Bakhtiyor Abdukadirov, B M Abdullayeva

Abstract

Abstract The article considers the problem of determining the coefficients of the Newton interpolation polynomial with separated differences. To solve this problem, a scheme, a tabular method and an algorithm for determining the coefficients without simplification and disclosure of brackets that arise when constructing polynomials by the Newton method are proposed. Based on this tabular method, approximation and interpolation problems can also be solved.

Mathematical and Computational MethodsMathematical functions and polynomialsPolynomial and algebraic computationNewton interpolation polynomialdivided differencesinterpolation coefficients

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