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

Taras Shevchenko National University of Kyiv, Kyiv 01033, Ukraine

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

E-mail Address: jvalero@umh.es

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P. O. Kasyanov

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

E-mail Address: kasyanov@i.ua

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A. Giménez

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

E-mail Address: a.gimenez@umh.es

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J. M. Amigó

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

E-mail Address: jm.amigo@umh.es

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https://doi.org/10.1142/S0218127415400222Cited by:3 (Source: Crossref)

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.

Keywords:

References

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