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Analytical and Numerical Study of Memory Formalisms in Diffusion Processes

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Modelling and Simulation in Fluid Dynamics in Porous Media

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 28))

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Abstract

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.

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Acknowledgements

Research supported by CMUC and FCT (Portugal), through European program COMPETE/FEDER and by the research project UTAustin/MAT/066/2008.

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Correspondence to José A. Ferreira .

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Ferreira, J.A., Gudiño, E., de Oliveira, P. (2013). Analytical and Numerical Study of Memory Formalisms in Diffusion Processes. In: Ferreira, J., Barbeiro, S., Pena, G., Wheeler, M. (eds) Modelling and Simulation in Fluid Dynamics in Porous Media. Springer Proceedings in Mathematics & Statistics, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5055-9_4

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