Looking for the Lost Memory in Diffusion-Reaction Equations

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Abstract

The paper studies the analytical and numerical behaviours of some non Brownian models for diffusion phenomena. These models have been introduced in the literature to overcome the gap between experimental data and numerical simulations. From analytical point of view stability results leading to the well-posedness in the Hadamard sense of the initial boundary value problems are established. From numerical point of view some numerical methods are analysed. Applications within the fields of drug release, heat conduction and reaction diffusion phenomena are addressed.

Keywords

Fick’s law for the flux Reaction-diffusion equations Integro-differential equations Stability Numerical methods 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.CMUC-Department of MathematicsUniversity of CoimbraCoimbraPortugal

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