On the solution of the fredholm equation with the use of quadratic integro-differential splines

I. G. Burova, N. S. Domnin

Research outputpeer-review

Abstract

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
EditorsAnca Croitoru, Klimis Ntalianis, George Vachtsevanos, Pierre Borne
PublisherSpringer
Pages35-41
Number of pages7
ISBN (Print)9783030215064
DOIs
Publication statusPublished - 1 Jan 2019
Event3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018 - Dubrovnik
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
CountryCroatia
CityDubrovnik
Period26/09/1828/09/18

Fingerprint

Splines
Polynomials
Experiments

Scopus subject areas

  • Industrial and Manufacturing Engineering

Cite this

Burova, I. G., & Domnin, N. S. (2019). On the solution of the fredholm equation with the use of quadratic integro-differential splines. In A. Croitoru, K. Ntalianis, G. Vachtsevanos, & P. Borne (Eds.), Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018 (pp. 35-41). (Lecture Notes in Electrical Engineering; Vol. 574). Springer. https://doi.org/10.1007/978-3-030-21507-1_6
Burova, I. G. ; Domnin, N. S. / On the solution of the fredholm equation with the use of quadratic integro-differential splines. Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018. editor / Anca Croitoru ; Klimis Ntalianis ; George Vachtsevanos ; Pierre Borne. Springer, 2019. pp. 35-41 (Lecture Notes in Electrical Engineering).
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Burova, IG & Domnin, NS 2019, On the solution of the fredholm equation with the use of quadratic integro-differential splines. in A Croitoru, K Ntalianis, G Vachtsevanos & P Borne (eds), Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018. Lecture Notes in Electrical Engineering, vol. 574, Springer, pp. 35-41, Dubrovnik, 26/09/18. https://doi.org/10.1007/978-3-030-21507-1_6

On the solution of the fredholm equation with the use of quadratic integro-differential splines. / Burova, I. G.; Domnin, N. S.

Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018. ed. / Anca Croitoru; Klimis Ntalianis; George Vachtsevanos; Pierre Borne. Springer, 2019. p. 35-41 (Lecture Notes in Electrical Engineering; Vol. 574).

Research outputpeer-review

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Burova IG, Domnin NS. On the solution of the fredholm equation with the use of quadratic integro-differential splines. In Croitoru A, Ntalianis K, Vachtsevanos G, Borne P, editors, Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018. Springer. 2019. p. 35-41. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-3-030-21507-1_6