Kabanikhin, S. I. Krivorotko, O. I.
Published in
Computational Mathematics and Mathematical Physics

AbstractMathematical models for transmission dynamics of the novel COVID-2019 coronavirus, an outbreak of which began in December, 2019, in Wuhan are considered. To control the epidemiological situation, it is necessary to develop corresponding mathematical models. Mathematical models of COVID-2019 spread described by systems of nonlinear ordinary ...

Kurina, G. A. Hoai, N. T.
Published in
Computational Mathematics and Mathematical Physics

AbstractUnder some conditions, an asymptotic solution containing boundary functions of two types was constructed by V.F. Butuzov and N.N. Nefedov for initial value problems for differential equations involving the second power of a small parameter multiplying the derivative with a right-hand side consisting of a singular matrix \documentclass[12pt]...

Markov, V. V. Utesinov, V. N.
Published in
Computational Mathematics and Mathematical Physics

AbstractA second-order accurate finite-difference scheme based on existing methods is proposed for the numerical solution of the one-dimensional Burgers equation. A stability condition is given under which the integration time step does not depend on the value of the viscous term. The numerical results produced by the scheme are compared with the e...

Frolova, A. A.
Published in
Computational Mathematics and Mathematical Physics

AbstractAn anisotropic gas–surface interaction model is examined for its possible use as a boundary condition in solving a kinetic equation. The surface aerodynamic coefficients and the temperatures obtained by applying a two-parameter anisotropic reflection model and the Cercignani–Lampis boundary condition for external flow problems with various ...

Vlasov, V. I. Skorokhodov, S. L.
Published in
Computational Mathematics and Mathematical Physics

AbstractThe solution to the problem of cavitating flow of an ideal fluid over a wedge is represented in explicit form in terms of the Gauss and Appell hypergeometric functions for a number of classical cavity closure models. A numerical implementation of the solution is described in detail. Asymptotic representations of the drag coefficient \docume...

Kochikov, I. V. Lagutin, Yu. S. Lagutina, A. A. Lukyanenko, D. V. Tikhonravov, A. V. Yagola, A. G.
Published in
Computational Mathematics and Mathematical Physics

AbstractFor optical monitoring of layer thickness in the deposition of multilayer optical coatings, a stable method is proposed that completely eliminates the cumulative effect of errors in the thicknesses of deposited layers. The considered monitoring method relies on a nonlocal algorithm for analyzing data measured in the course of coating deposi...

Kuznetsov, E. B. Leonov, S. S.
Published in
Computational Mathematics and Mathematical Physics

AbstractNumerical methods are developed for solving the Cauchy problem for systems of ordinary differential equations with a single limiting singular point lying on the right boundary of the considered range of the argument. Such initial value problems arise in a variety of areas, such as inelastic deformation of metal structures at various tempera...

Kel’manov, A. V. Mikhailova, L. V. Ruzankin, P. S. Khamidullin, S. A.
Published in
Computational Mathematics and Mathematical Physics

AbstractA previously unstudied optimization problem concerning the summation of elements of numerical sequences \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Y$$\end{...

Solonukha, O. V.
Published in
Computational Mathematics and Mathematical Physics

AbstractA Dirichlet problem for a functional-differential equation the operator of which is represented by the product of a quasilinear differential operator and a linear shift operator is considered. The nonlinear operator has differentiable coefficients. A sufficient condition for the strong ellipticity of the differential-difference operator is ...

Bagapsh, A. O.
Published in
Computational Mathematics and Mathematical Physics

An Erratum to this paper has been published: https://doi.org/10.1134/S0965542520300016