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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. / Klimis Ntalianis; George Vachtsevanos; Pierre Borne; Anca Croitoru. Springer Nature, 2019. p. 35-41 (Lecture Notes in Electrical Engineering; Vol. 574).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Burova, IG & Domnin, NS 2019, On the solution of the fredholm equation with the use of quadratic integro-differential splines. in K Ntalianis, G Vachtsevanos, P Borne & A Croitoru (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 Nature, pp. 35-41, 3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018, Dubrovnik, Croatia, 26/09/18. https://doi.org/10.1007/978-3-030-21507-1_6

APA

Burova, I. G., & Domnin, N. S. (2019). On the solution of the fredholm equation with the use of quadratic integro-differential splines. In K. Ntalianis, G. Vachtsevanos, P. Borne, & A. Croitoru (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 Nature. https://doi.org/10.1007/978-3-030-21507-1_6

Vancouver

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

Author

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 / Klimis Ntalianis ; George Vachtsevanos ; Pierre Borne ; Anca Croitoru. Springer Nature, 2019. pp. 35-41 (Lecture Notes in Electrical Engineering).

BibTeX

@inproceedings{d56357d3b2d544fca9382b3f918d0c69,
title = "On the solution of the fredholm equation with the use of quadratic integro-differential splines",
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.",
keywords = "Fredholm equation, Integro-differential splines, Polynomial splines",
author = "Burova, {I. G.} and Domnin, {N. S.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-21507-1_6",
language = "English",
isbn = "9783030215064",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer Nature",
pages = "35--41",
editor = "Klimis Ntalianis and George Vachtsevanos and Pierre Borne and Anca Croitoru",
booktitle = "Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018",
address = "Germany",
note = "3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018 ; Conference date: 26-09-2018 Through 28-09-2018",

}

RIS

TY - GEN

T1 - On the solution of the fredholm equation with the use of quadratic integro-differential splines

AU - Burova, I. G.

AU - Domnin, N. S.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Fredholm equation

KW - Integro-differential splines

KW - Polynomial splines

UR - http://www.scopus.com/inward/record.url?scp=85068611862&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/solution-fredholm-equation-quadratic-integrodifferential-splines

U2 - 10.1007/978-3-030-21507-1_6

DO - 10.1007/978-3-030-21507-1_6

M3 - Conference contribution

AN - SCOPUS:85068611862

SN - 9783030215064

T3 - Lecture Notes in Electrical Engineering

SP - 35

EP - 41

BT - Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018

A2 - Ntalianis, Klimis

A2 - Vachtsevanos, George

A2 - Borne, Pierre

A2 - Croitoru, Anca

PB - Springer Nature

T2 - 3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018

Y2 - 26 September 2018 through 28 September 2018

ER -

ID: 45985678