Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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One-dimensional diffusion with the diffusion coefficient a linear function of concentration: reduction to an equation of the first order


Author: D. H. Parsons
Journal: Quart. Appl. Math. 15 (1957), 298-303
MSC: Primary 76.0X
DOI: https://doi.org/10.1090/qam/91113
MathSciNet review: 91113
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Abstract: The problem considered by Stokes$ ^{1}$, of one-dimensional diffusion from an initially sharp boundary between two semi-infinite columns of liquid, the diffusion constant being a linear function of concentration, is discussed. It is shown how the differential equation may be reduced to an equation of the first order. Some properties of the solution are investigated, and the method of obtaining numerical solutions is considered.


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DOI: https://doi.org/10.1090/qam/91113
Article copyright: © Copyright 1957 American Mathematical Society


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