Convergence of Numerical Approximations for a Non-Newtonian Model of Suspensions-Reference-Cited by-同舟云学术

Convergence of Numerical Approximations for a Non-Newtonian Model of Suspensions

Published:2015-12-30 Issue:14 Volume:25 Page:1540022
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Kapustyan O. V.¹,Valero J.²,Kasyanov P. O.³,Giménez A.²,Amigó J. M.²

Affiliation:

1. Taras Shevchenko National University of Kyiv, Kyiv 01033, Ukraine

2. Universidad Miguel Hernández de Elche, Centro de Investigación Operativa, Avda. Universidad s/n, Elche (Alicante) 03202, Spain

3. National Technical University of Ukraine, Kyiv Polytechnic Institute, Institute for Applied System Analysis, Peremogy Ave. 37, Kyiv 03056, Ukraine

Abstract

In this paper, we prove the convergence of the numerical approximations of a scalar parabolic equation modeling a non-Newtonian fluid. We use finite-difference schemes and the well-known method of external approximations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127415400222

Reference10 articles.

1. Attractors for a non-linear parabolic equation modelling suspension flows

2. ATTRACTORS FOR A LATTICE DYNAMICAL SYSTEM GENERATED BY NON-NEWTONIAN FLUIDS MODELING SUSPENSIONS

3. Mathematical Analysis of a Nonlinear Parabolic Equation Arising in the Modelling of Non-Newtonian Flows

4. Stability and Numerical Analysis of the Hébraud-Lequeux Model for Suspensions

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