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Analytical and Numerical Study of Memory Formalisms in Diffusion Processes

Gudiño, Elias; Ferreira, José A.; De Oliveira, Paula

Modelling and Simulation in Fluid Dynamics in Porous Media Springer Proceedings in Mathematics & Statistics, Springer New York , 28 (2013), 67-85

In this chapter we study the diffusion of a liquid agent into a polymeric matrix. We propose an initial-boundary value problem to model the process. Numerical methods are obtained for solving it. The stability and the convergence of the methods are studied.