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Operator splitting for space-dependent epidemic model

Csomós, Petra and Takács, Bálint (2019) Operator splitting for space-dependent epidemic model. Applied Numerical Mathematics. pp. 1-27. ISSN 0168-9274 (print); 1873-5460 (online) (Submitted)

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Abstract

We present and analyse numerical methods with operator splitting procedures, applied to an epidemic model which takes into account the space-dependence of the infection. We derive conditions on the time step, under which the numerical methods preserve the non-negativity and monotonicity properties of the exact solution. Our results are illustrated by numerical experiments.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Dr. Petra Csomós
Date Deposited: 18 Dec 2019 13:18
Last Modified: 18 Dec 2019 13:18
URI: http://real.mtak.hu/id/eprint/104553

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