DOI

This paper is a continuation of a series of papers devoted to the construction and investigation of the properties of integro-differential polynomial splines of the fifth order. It is supposed that values of function in grid nodes and values of integrals over intervals are known. Solving the system of linear algebraic equations, we find basic splines. An approximation of the function in this paper is constructed on every grid interval separately using values of the function in two adjacent grid nodes and the values of three integrals over intervals, and basic splines. We call this approximation an integro-differential spline and we call these basic splines integro-differential basic splines. The properties of interpolation with integro-differential polynomial basic splines are investigated. A comparison of the properties of integro-differential approximations for a different choice of integrals is presented. A comparison of the integro-differential approximation with approximation using polynomial splines of the Lagrangian type is made. Numerical examples are presented.

Язык оригиналаанглийский
Название основной публикацииApplied Physics, System Science and Computers II
Подзаголовок основной публикацииProceedings of the 2nd International Conference on Applied Physics, System Science and Computers (APSAC2017), September 27-29, 2017, Dubrovnik, Croatia
РедакторыKlimis Ntalianis, Anca Croitoru
ИздательSpringer Nature
Страницы39-46
Число страниц8
ISBN (электронное издание)978-3-319-75605-9
ISBN (печатное издание)978-3-319-75604-2
DOI
СостояниеОпубликовано - 1 янв 2019
Событие2nd International Conference on Applied Physics, System Science and Computers - Dubrovnik, Хорватия
Продолжительность: 27 сен 201729 сен 2017

Серия публикаций

НазваниеLNEE
ИздательSpringer Nature
Том489
ISSN (печатное издание)1876-1100

конференция

конференция2nd International Conference on Applied Physics, System Science and Computers
Сокращенное названиеAPSAC2017
Страна/TерриторияХорватия
ГородDubrovnik
Период27/09/1729/09/17

    Предметные области Scopus

  • Промышленная технология и станкостроение

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