### 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 language | English |
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Title of host publication | Applied Physics, System Science and Computers III - Proceedings of the 3rd International Conference on Applied Physics, System Science and Computers APSAC 2018 |

Editors | Anca Croitoru, Klimis Ntalianis, George Vachtsevanos, Pierre Borne |

Publisher | Springer |

Pages | 35-41 |

Number of pages | 7 |

ISBN (Print) | 9783030215064 |

DOIs | |

Publication status | Published - 1 Jan 2019 |

Event | 3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018 - Dubrovnik Duration: 26 Sep 2018 → 28 Sep 2018 |

### Publication series

Name | Lecture Notes in Electrical Engineering |
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Volume | 574 |

ISSN (Print) | 1876-1100 |

ISSN (Electronic) | 1876-1119 |

### Conference

Conference | 3rd International Conference on Applied Physics, System Science and Computers, APSAC 2018 |
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Country | Croatia |

City | Dubrovnik |

Period | 26/09/18 → 28/09/18 |

### Fingerprint

### Scopus subject areas

- Industrial and Manufacturing Engineering

### Cite this

*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

}

*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.

Research output › › peer-review

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

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 - Croitoru, Anca

A2 - Ntalianis, Klimis

A2 - Vachtsevanos, George

A2 - Borne, Pierre

PB - Springer

ER -