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Numerical solution of an inverse problem for a two-dimensional mathematical model of sorption dynamics

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We consider a two-dimensional mathematical model of sorption that allows for inner-diffusion kinetics as well as longitudinal and transverse diffusion. The inverse problem of determining the sorption isotherm from an experimental dynamic output curve is investigated for this model and stable solution methods are proposed for the inverse and the direct problem. The efficiency of the solution methods is explored in computer experiments.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    S. R. Tuikina & S. I. Solov’eva

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  1. S. R. Tuikina
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  2. S. I. Solov’eva
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Correspondence to S. R. Tuikina.

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Translated from Prikladnaya Matematika i Informatika, No. 36, pp. 49–55, 2010.

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Tuikina, S.R., Solov’eva, S.I. Numerical solution of an inverse problem for a two-dimensional mathematical model of sorption dynamics. Comput Math Model 23, 34–41 (2012). https://doi.org/10.1007/s10598-012-9115-4

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  • DOI: https://doi.org/10.1007/s10598-012-9115-4

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