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dc.contributor.authorCecilia Averós, Joan
dc.contributor.authorPuy Llorens, Jaume
dc.contributor.authorUribe Kaffure, Ramiro
dc.description.abstractIn this work, we present a novel strategy for the numerical solution of a coupled system of partial differential equations that describe reaction–diffusion processes of a mixture of metals and ligands that can be absorbed by a sensor or a microorganism, in an aqueous medium. The novelty introduced in this work consisted of an adequate database management in conjunction with a direct iterative schema, which allowed the construction of simple, fast and efficient algorithms. Except in really adverse conditions, the calculation is converging and satisfactory solutions were reached. Computing times showed to be better than those obtained with some commercial programs. Although we concentrate on the solution for a particular system (Diffusive Gradients in Thin Films [DGT] sensors), the proposed algorithm does not require major modifications to consider new theoretical or experimental configurations. Since the quality of numerical simulations of reaction–diffusion problems often faces some drawbacks as the values of reaction rate constants increase, some additional effort has been invested in obtaining proper solutions in those cases.ca_ES
dc.description.sponsorshipThis research was funded by University of Lleida and University of Tolima.ca_ES
dc.relation.isformatofReproducció del document publicat a:
dc.relation.ispartofAlgorithms, 2020, vol. 13, núm. 4, p. 98ca_ES
dc.rightscc-by (c) Cecilia Averós, Joan et al., 2020ca_ES
dc.subjectNumerical simulationca_ES
dc.titleNumerical Simulation of Non-Linear Models of Reaction—Diffusion for a DGT Sensorca_ES

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cc-by (c) Cecilia Averós, Joan et al., 2020
Except where otherwise noted, this item's license is described as cc-by (c) Cecilia Averós, Joan et al., 2020