Standard

On the solution of the Fredholm equation of the second kind. / Burova, I. G.; Domnin, N. S.; Vezhlev, A. E.; Lebedeva, A. V.; Pakulina, A. N.

в: WSEAS Transactions on Mathematics, Том 17, 01.01.2018, стр. 319-328.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Burova, IG, Domnin, NS, Vezhlev, AE, Lebedeva, AV & Pakulina, AN 2018, 'On the solution of the Fredholm equation of the second kind', WSEAS Transactions on Mathematics, Том. 17, стр. 319-328.

APA

Burova, I. G., Domnin, N. S., Vezhlev, A. E., Lebedeva, A. V., & Pakulina, A. N. (2018). On the solution of the Fredholm equation of the second kind. WSEAS Transactions on Mathematics, 17, 319-328.

Vancouver

Burova IG, Domnin NS, Vezhlev AE, Lebedeva AV, Pakulina AN. On the solution of the Fredholm equation of the second kind. WSEAS Transactions on Mathematics. 2018 Янв. 1;17:319-328.

Author

Burova, I. G. ; Domnin, N. S. ; Vezhlev, A. E. ; Lebedeva, A. V. ; Pakulina, A. N. / On the solution of the Fredholm equation of the second kind. в: WSEAS Transactions on Mathematics. 2018 ; Том 17. стр. 319-328.

BibTeX

@article{f55428cd48834fa8815f11afc305ea90,
title = "On the solution of the Fredholm equation of the second kind",
abstract = "- The present paper is devoted to the application of local polynomial integro-differential splines to the solution of integral equations, in particular, to the solution of the integral equations of Fredholm of the second kind. To solve the Fredholm equation of the second kind, we apply local polynomial integro-differential splines of the second and third order of approximation. To calculate the integral in the formulae of a piecewise quadratic integro-differential spline and piecewise linear integro-differential spline, we propose the corresponding quadrature formula. The results of the numerical experiments are given.",
keywords = "Fredholm equation, Polynomial integro-differential splines, Polynomial splines",
author = "Burova, {I. G.} and Domnin, {N. S.} and Vezhlev, {A. E.} and Lebedeva, {A. V.} and Pakulina, {A. N.}",
year = "2018",
month = jan,
day = "1",
language = "English",
volume = "17",
pages = "319--328",
journal = "WSEAS Transactions on Mathematics",
issn = "1109-2769",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - On the solution of the Fredholm equation of the second kind

AU - Burova, I. G.

AU - Domnin, N. S.

AU - Vezhlev, A. E.

AU - Lebedeva, A. V.

AU - Pakulina, A. N.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - - The present paper is devoted to the application of local polynomial integro-differential splines to the solution of integral equations, in particular, to the solution of the integral equations of Fredholm of the second kind. To solve the Fredholm equation of the second kind, we apply local polynomial integro-differential splines of the second and third order of approximation. To calculate the integral in the formulae of a piecewise quadratic integro-differential spline and piecewise linear integro-differential spline, we propose the corresponding quadrature formula. The results of the numerical experiments are given.

AB - - The present paper is devoted to the application of local polynomial integro-differential splines to the solution of integral equations, in particular, to the solution of the integral equations of Fredholm of the second kind. To solve the Fredholm equation of the second kind, we apply local polynomial integro-differential splines of the second and third order of approximation. To calculate the integral in the formulae of a piecewise quadratic integro-differential spline and piecewise linear integro-differential spline, we propose the corresponding quadrature formula. The results of the numerical experiments are given.

KW - Fredholm equation

KW - Polynomial integro-differential splines

KW - Polynomial splines

UR - http://www.scopus.com/inward/record.url?scp=85060591135&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85060591135

VL - 17

SP - 319

EP - 328

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -

ID: 38296571