An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and Applications to an Epidemic Model

Wolfgang Bock; Yashika Jayathunga

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arXiv · 2001.01307

An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and Applications to an Epidemic Model

Wolfgang Bock·Yashika Jayathunga

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Abstract

Reaction-diffusion equations are often used in epidemiological models. In this paper we generalize the algorithm of Meerschaert and Tadjeran for fractional advection-dispersion flow equations to a coupled system of fractional reaction-diffusion like equation which arise from vector bourne disease modeling.

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Wolfgang Bock, Yashika Jayathunga. 2020-01-05. An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and Applications to an Epidemic Model. https://arxiv.org/abs/2001.01307

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