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

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 c...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2020-05, Vol.862 (4), p.42019
Main Authors: Niyozmatova, N A, Mamatov, N, Samijonov, A, Abdukadirov, B, Abdullayeva, B M
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Coefficients
Interpolation
Newton methods
Polynomials
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Summary: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.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/862/4/042019