Analytical and numerical study of memory Formalisms in diffusion processes

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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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Ferreira, J. A., Gudiño, E., & de Oliveira, P. (2013). Analytical and numerical study of memory Formalisms in diffusion processes. In Springer Proceedings in Mathematics and Statistics (Vol. 28, pp. 67–85). Springer New York LLC. https://doi.org/10.1007/978-1-4614-5055-9_4

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