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On the Solution of the Fredholm Equation with the Use of Quadratic Integro-Differential Splines

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Applied Physics, System Science and Computers III (APSAC 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 574 ))

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.

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Authors and Affiliations

  1. St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia

    I. G. Burova & N. S. Domnin

Authors
  1. I. G. Burova
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  2. N. S. Domnin
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Corresponding author

Correspondence to I. G. Burova .

Editor information

Editors and Affiliations

  1. Department of Marketing, University of Applied Sciences, Athens, Greece

    Klimis Ntalianis

  2. School of Electrical and Computer Engineering, The Georgia Institute of Technology, Atlanta, GA, USA

    George Vachtsevanos

  3. Ecole Central de Lille, Lille, France

    Pierre Borne

  4. Faculty of Mathematics, Alexandru Ioan Cuza University, Iasi, Romania

    Anca Croitoru

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Burova, I.G., Domnin, N.S. (2019). On the Solution of the Fredholm Equation with the Use of Quadratic Integro-Differential Splines. In: Ntalianis, K., Vachtsevanos, G., Borne, P., Croitoru, A. (eds) Applied Physics, System Science and Computers III. APSAC 2018. Lecture Notes in Electrical Engineering, vol 574 . Springer, Cham. https://doi.org/10.1007/978-3-030-21507-1_6

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