Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Aleksandr Tynda"'
Publikováno v:
Mathematics, Vol 12, Iss 2, p 227 (2024)
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical system modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many others. Iden
Externí odkaz:
https://doaj.org/article/26b193212c914c9998633b47ace067dc
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 39, Iss 1, Pp 62-79 (2022)
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gausstype quadrature formula is used to approximate integrals during the discretization
Externí odkaz:
https://doaj.org/article/773002239bcf4bf18088a24ccf1d793d
Publikováno v:
Mathematics, Vol 9, Iss 1, p 48 (2020)
The aim of this study is to present a novel method to find the optimal solution of the reverse osmosis (RO) system. We apply the Sinc integration rule with single exponential (SE) and double exponential (DE) decays to find the approximate solution of
Externí odkaz:
https://doaj.org/article/10605d649d59498d9f40c0a507198b20
Publikováno v:
Mathematics, Vol 8, Iss 8, p 1257 (2020)
The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that de
Externí odkaz:
https://doaj.org/article/4ac07cd2a68b43f4b87e8f4da0e2cbe7
Autor:
Denis Sidorov, Aleksandr Tynda
Publikováno v:
Mathematics; Volume 10; Issue 21; Pages: 3945
The objective of this paper was to present a new inverse problem statement and numerical method for the Volterra integral equations with piecewise continuous kernels. For such Volterra integral equations of the first kind, it is assumed that kernel d
Publikováno v:
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva. 22:319-332
In this paper we propose numerical methods for solving interior and exterior boundary-value problems for the Helmholtz and Laplace equations in complex three-dimensional domains. The method is based on their reduction to boundary integral equations i
Publikováno v:
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva. 20:55-63
Publikováno v:
Journal of Computational and Applied Mathematics. 313:119-128
Numeric methods for solution of the weakly regular linear and nonlinear evolutionary (Volterra) integral equations of the first kind are proposed. The kernels of such equations have jump discontinuities along the continuous curves (endogenous delays)
Publikováno v:
Journal of Physics: Conference Series. 1847:012011
Integral equations play the important role in applied mathematics, related to many areas of theory, especially applications. In this article, we consider the numerical method for solving Volterra integral equations for the fractional order of integra
Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel
Publikováno v:
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software". 7:107-115