Continuous Local Splines of the Fourth Order of Approximation and Boundary Value Problem | Zendy

И. Г. Бурова | Zendy

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Continuous Local Splines of the Fourth Order of Approximation and Boundary Value Problem

Author(s) -

И. Г. Бурова

Publication year - 2020

Publication title -

international journal of circuits systems and signal processing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.156

H-Index - 13

ISSN - 1998-4464

DOI - 10.46300/9106.2020.14.59

Subject(s) - mathematics , box spline , polynomial , boundary value problem , spline (mechanical) , mathematical analysis , matrix polynomial , spouge's approximation , approximation error , spline interpolation , physics , statistics , bilinear interpolation , thermodynamics

This paper discusses the construction of polynomialand non-polynomial splines of the fourth order of approximation.The behavior of the Lebesgue constants for the left, the right, andthe middle continuous cubic polynomial splines are considered.The non-polynomial splines are used for the construction of thespecial central difference approximation. The approximation offunctions, and the solving of the boundary problem with thepolynomial and non-polynomial splines are discussed. Numericalexamples are done.

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