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A quasi-steady-state approximation method for diffusion problems: I. Concentration dependent diffusion coefficients

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Abstract

A generalization of Landahl's approximation method (H. D. Landahl,Bull. Math. Biophysics,15, 49–61, 1953) for non-linear diffusion problems is suggested. The method is applied to sorption, desorption, and free diffusion problems involving concentration-dependent diffusion coefficients. With some limitations, the results compare favorably with those obtained by numerical methods.

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Literature

  • Crank, J. 1956.The Mathematics of Diffusion. London: Oxford University Press.

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  • Landahl, H. D. 1953. “An Approximation Method for the Solution of Diffusion and Related Problems.”Bull. Math. Biophysics,15, 49–61.

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Authors and Affiliations

  1. Department of Physiology, School of Medicine, University of Illinois, Illinois, USA

    Robert I. Macey

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  1. Robert I. Macey
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Macey, R.I. A quasi-steady-state approximation method for diffusion problems: I. Concentration dependent diffusion coefficients. Bulletin of Mathematical Biophysics 21, 19–32 (1959). https://doi.org/10.1007/BF02476456

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  • DOI: https://doi.org/10.1007/BF02476456

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