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2020•IOP Conference Series Materials Science and EngineeringOpen access

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

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Interpolation (computer graphics), Polynomial interpolation, Applied mathematics, Mathematics, Scheme (mathematics), Polynomial, Lagrange polynomial, Linear interpolation

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