Výsledky vyhledávání - "Chmykhov, Mikhail A."

Akademický článek

Analytical features of the SIR model and their applications to COVID-19

Autor: Kudryashov, Nikolay A., Chmykhov, Mikhail A., Vigdorowitsch, Michael

Publikováno v: In Applied Mathematical Modelling February 2021 90:466-473

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Logistic function as solution of many nonlinear differential equations

Autor: Kudryashov, Nikolai A., Chmykhov, Mikhail A.

The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary differential equations. The list of the differential equations having solution

Externí odkaz: http://arxiv.org/abs/1409.6896

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Thermal regimes of high burn-up nuclear fuel rod

Autor: Kudryashov, Nikolai A., Khlunov, Aleksandr V., Chmykhov, Mikhail A.

Publikováno v: Communications in Nonlinear Science and Numerical Simulation, Volume 15, Issue 5, May 2010, Pages 1240-1252

The temperature distribution in the nuclear fuel rods for high burn-up is studied. We use the numerical and analytical approaches. It is shown that the time taken to have the stationary thermal regime of nuclear fuel rod is less than one minute. We c

Externí odkaz: http://arxiv.org/abs/1201.2951

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Power and power-logarithmic expansions for travelling-wave solutions of the Burgers-Huxley equation

Autor: Efimova, Olga Yu., Kudryashov, Nikolai A., Chmykhov, Mikhail A.

The Burgers-Huxley equation is studied. All power and power-logarithmic expansions for travelling-wave solutions of this equation are presented. Using the power expansions, some exact solutions of this equation are found.
Comment: 15 pages, 4 fi

Externí odkaz: http://arxiv.org/abs/nlin/0511038

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Approximate Solutions of Nonlinear Heat Equation for Given Flow

Autor: Chmykhov, Mikhail A., Kudryashov, Nikolai A.

Publikováno v: Proceedings of the XXXIII Summer School Advanced Problems in Mechanics APM' 2005, St.Petersburg, 2005

The one-dimensional problem of the nonlinear heat equation is considered. We assume that the heat flow in the origin of coordinates is the power function of time and the initial temperature is zero. Approximate solutions of the problem are given. Con

Externí odkaz: http://arxiv.org/abs/math-ph/0508003

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