Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders

DOI10.1134/S0965542518070035zbMath1442.76013OpenAlexW2888413060MaRDI QIDQ1991642

E. A. Kruglova, Boris Semisalov, Alexander Blokhin

Publication date: 30 October 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518070035

zbMATH Keywords

collocation methoderror estimatesChebyshev polynomialsexponential convergencealgorithm without saturationpolymer fluid dynamics

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

On an approach to numerical solutions of the Dirichlet problem of an arbitrary dimension ⋮ Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-Section

Cites Work

• Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders
• Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel
• Verification methods: Rigorous results using floating-point arithmetic
• Stationary solutions of the equations for nonisothermal electroconvection of a weakly conducting incompressible polymeric liquid
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