Currently there are a number of papers in which certain types of splines are used to solve the Fredholm equation. Now much attention is paid to the application of a new type of spline, the so-called integro-differential spline to the solution of various problems. In this paper we consider the solution of the Fredholm equation using polynomial integro-differential splines of the third order approximation. To calculate the integral in the formula of a quadratic integro-differential spline, we propose the corresponding quadrature formula. The results of numerical experiments are given.

Original languageEnglish
Title of host publicationApplied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018
EditorsKlimis Ntalianis, George Vachtsevanos, Pierre Borne, Anca Croitoru
PublisherSpringer Nature
Pages35-41
Number of pages7
ISBN (Print)9783030215064
DOIs
StatePublished - 1 Jan 2019
Event3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018 - Dubrovnik, Croatia
Duration: 26 Sep 201828 Sep 2018

Publication series

NameLecture Notes in Electrical Engineering
Volume574
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018
Country/TerritoryCroatia
CityDubrovnik
Period26/09/1828/09/18

    Research areas

  • Fredholm equation, Integro-differential splines, Polynomial splines

    Scopus subject areas

  • Industrial and Manufacturing Engineering

ID: 45985678