Application of splines of the second order approximation to volterra integral equations of the second kind. Applications in systems theory and dynamical systems

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Application of splines of the second order approximation to volterra integral equations of the second kind. Applications in systems theory and dynamical systems. / Burova, I. G.; Alcybeev, G. O.

в: International Journal of Circuits, Systems and Signal Processing, Том 15, 09.02.2021, стр. 63-71.

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

BibTeX

@article{8ba107fbac1f4c3f99823e7f9d1169b5,

title = "Application of splines of the second order approximation to volterra integral equations of the second kind. Applications in systems theory and dynamical systems",

abstract = "This paper discusses the application of local interpolation splines of the second order of approximation for the numerical solution of Volterra integral equations of the second kind. Computational schemes based on the use of polynomial and non-polynomial splines are constructed. The advantages of the proposed method include the ability to calculate the integrals which are present in the computational methods. The application of splines to the solution of nonlinear Volterra integral equations is also discussed. The results of numerical experiments are presented.",

keywords = "Dynamical Systems, Non-polynomial splines, Polynomial splines, Systems Theory, Volterra integral equations of the second kind",

author = "Burova, {I. G.} and Alcybeev, {G. O.}",

year = "2021",

month = feb,

day = "9",

doi = "10.46300/9106.2021.15.8",

language = "English",

volume = "15",

pages = "63--71",

journal = "International Journal of Circuits, Systems and Signal Processing",

issn = "1998-4464",

publisher = "North Atlantic University Union NAUN",

}

RIS

TY - JOUR

T1 - Application of splines of the second order approximation to volterra integral equations of the second kind. Applications in systems theory and dynamical systems

AU - Burova, I. G.

AU - Alcybeev, G. O.

PY - 2021/2/9

Y1 - 2021/2/9

N2 - This paper discusses the application of local interpolation splines of the second order of approximation for the numerical solution of Volterra integral equations of the second kind. Computational schemes based on the use of polynomial and non-polynomial splines are constructed. The advantages of the proposed method include the ability to calculate the integrals which are present in the computational methods. The application of splines to the solution of nonlinear Volterra integral equations is also discussed. The results of numerical experiments are presented.

AB - This paper discusses the application of local interpolation splines of the second order of approximation for the numerical solution of Volterra integral equations of the second kind. Computational schemes based on the use of polynomial and non-polynomial splines are constructed. The advantages of the proposed method include the ability to calculate the integrals which are present in the computational methods. The application of splines to the solution of nonlinear Volterra integral equations is also discussed. The results of numerical experiments are presented.

KW - Dynamical Systems

KW - Non-polynomial splines

KW - Polynomial splines

KW - Systems Theory

KW - Volterra integral equations of the second kind

UR - http://www.scopus.com/inward/record.url?scp=85101225939&partnerID=8YFLogxK

U2 - 10.46300/9106.2021.15.8

DO - 10.46300/9106.2021.15.8

M3 - Article

AN - SCOPUS:85101225939

VL - 15

SP - 63

EP - 71

JO - International Journal of Circuits, Systems and Signal Processing

JF - International Journal of Circuits, Systems and Signal Processing

SN - 1998-4464

ER -

ID: 75027180