Application local polynomial and non-polynomial splines of the third order of approximation for the construction of the numerical solution of the volterra integral equation of the second kind

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Application local polynomial and non-polynomial splines of the third order of approximation for the construction of the numerical solution of the volterra integral equation of the second kind. / BUROVA, I. G.

в: WSEAS Transactions on Mathematics, Том 20, 02.03.2021, стр. 9-23.

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

BibTeX

@article{5461cd28fdc64b9abff85da867d42deb,

title = "Application local polynomial and non-polynomial splines of the third order of approximation for the construction of the numerical solution of the volterra integral equation of the second kind",

abstract = "The present paper is devoted to the application of local polynomial and non-polynomial interpolation splines of the third order of approximation for the numerical solution of the Volterra integral equation of the second kind. Computational schemes based on the use of the splines include the ability to calculate the integrals over the kernel multiplied by the basis function which are present in the computational methods. The application of polynomial and nonpolynomial splines to the solution of nonlinear Volterra integral equations is also discussed. The results of the numerical experiments are presented.",

keywords = "Non-polynomial spline, Polynomial spline, Volterra integral equation",

author = "BUROVA, {I. G.}",

year = "2021",

month = mar,

day = "2",

doi = "10.37394/23206.2021.20.2",

language = "English",

volume = "20",

pages = "9--23",

journal = "WSEAS Transactions on Mathematics",

issn = "1109-2769",

publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - Application local polynomial and non-polynomial splines of the third order of approximation for the construction of the numerical solution of the volterra integral equation of the second kind

AU - BUROVA, I. G.

PY - 2021/3/2

Y1 - 2021/3/2

N2 - The present paper is devoted to the application of local polynomial and non-polynomial interpolation splines of the third order of approximation for the numerical solution of the Volterra integral equation of the second kind. Computational schemes based on the use of the splines include the ability to calculate the integrals over the kernel multiplied by the basis function which are present in the computational methods. The application of polynomial and nonpolynomial splines to the solution of nonlinear Volterra integral equations is also discussed. The results of the numerical experiments are presented.

AB - The present paper is devoted to the application of local polynomial and non-polynomial interpolation splines of the third order of approximation for the numerical solution of the Volterra integral equation of the second kind. Computational schemes based on the use of the splines include the ability to calculate the integrals over the kernel multiplied by the basis function which are present in the computational methods. The application of polynomial and nonpolynomial splines to the solution of nonlinear Volterra integral equations is also discussed. The results of the numerical experiments are presented.

KW - Non-polynomial spline

KW - Polynomial spline

KW - Volterra integral equation

UR - http://www.scopus.com/inward/record.url?scp=85103669763&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8a8ac14c-2de5-314d-a9d6-b3d38e5e94b1/

U2 - 10.37394/23206.2021.20.2

DO - 10.37394/23206.2021.20.2

M3 - Article

AN - SCOPUS:85103669763

VL - 20

SP - 9

EP - 23

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -

ID: 76117099