Open AccessContinuous 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.