Continuous local splines of the fourth order of approximation and boundary value problem

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Continuous local splines of the fourth order of approximation and boundary value problem. / Burova, I. G.

в: International Journal of Circuits, Systems and Signal Processing, Том 14, 2020, стр. 440-450.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Author

Burova, I. G. / Continuous local splines of the fourth order of approximation and boundary value problem. в: International Journal of Circuits, Systems and Signal Processing. 2020 ; Том 14. стр. 440-450.

BibTeX

@article{068be5b137224ca7bc6a7147853519c2,

title = "Continuous local splines of the fourth order of approximation and boundary value problem",

abstract = "This paper discusses the construction of polynomial and non-polynomial splines of the fourth order of approximation. The behavior of the Lebesgue constants for the left, the right, and the middle continuous cubic polynomial splines are considered. The non-polynomial splines are used for the construction of the special central difference approximation. The approximation of functions, and the solving of the boundary problem with the polynomial and non-polynomial splines are discussed. Numerical examples are done.",

keywords = "Boundary value problem, Nonpolynomial splines, Polynomial splines",

author = "Burova, {I. G.}",

year = "2020",

doi = "10.46300/9106.2020.14.59",

language = "English",

volume = "14",

pages = "440--450",

journal = "International Journal of Circuits, Systems and Signal Processing",

issn = "1998-4464",

publisher = "North Atlantic University Union NAUN",

}

RIS

TY - JOUR

T1 - Continuous local splines of the fourth order of approximation and boundary value problem

AU - Burova, I. G.

PY - 2020

Y1 - 2020

N2 - This paper discusses the construction of polynomial and non-polynomial splines of the fourth order of approximation. The behavior of the Lebesgue constants for the left, the right, and the middle continuous cubic polynomial splines are considered. The non-polynomial splines are used for the construction of the special central difference approximation. The approximation of functions, and the solving of the boundary problem with the polynomial and non-polynomial splines are discussed. Numerical examples are done.

AB - This paper discusses the construction of polynomial and non-polynomial splines of the fourth order of approximation. The behavior of the Lebesgue constants for the left, the right, and the middle continuous cubic polynomial splines are considered. The non-polynomial splines are used for the construction of the special central difference approximation. The approximation of functions, and the solving of the boundary problem with the polynomial and non-polynomial splines are discussed. Numerical examples are done.

KW - Boundary value problem

KW - Nonpolynomial splines

KW - Polynomial splines

UR - http://www.scopus.com/inward/record.url?scp=85089432416&partnerID=8YFLogxK

U2 - 10.46300/9106.2020.14.59

DO - 10.46300/9106.2020.14.59

M3 - Article

AN - SCOPUS:85089432416

VL - 14

SP - 440

EP - 450

JO - International Journal of Circuits, Systems and Signal Processing

JF - International Journal of Circuits, Systems and Signal Processing

SN - 1998-4464

ER -

ID: 70070320