Инд. авторы:	Blokhin A.M., Kruglova E.A., Semisalov B.V.
Заглавие:	Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders
Библ. ссылка:	Blokhin A.M., Kruglova E.A., Semisalov B.V. Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders // Computational Mathematics and Mathematical Physics. - 2018. - Vol.58. - Iss. 7. - P.1099-1115. - ISSN 0965-5425. - EISSN 1555-6662.
Внешние системы:	DOI: 10.1134/S0965542518070035; РИНЦ: 35761384; SCOPUS: 2-s2.0-85052233303; WoS: 000442613300009;
Реферат:	eng: Abstract: An algorithm for solving a stationary nonlinear problem of a nonisothermal flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders is developed on the basis of Chebyshev approximations and the collocation method. In test calculations, the absence of saturation of the algorithm is shown. A posteriori estimates of two error components in the numerical solution—the error of approximation method and the round-off error—are obtained. The behavior of these components as a function of the number of nodes in the spatial grid of the algorithm and the radius of the inner cylinder is analyzed. The calculations show exponential convergence, stability to rounding errors, and high time efficiency of the algorithm developed.
Ключевые слова:	error estimates; collocation method; polymer fluid dynamics; algorithm without saturation; Chebyshev polynomials; exponential convergence;
Издано:	2018
Физ. характеристика:	с.1099-1115
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