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4.0 out of 5 stars An excellent text on diffusion, 10 Jun 2014
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This review is from: The Mathematics of Diffusion (Oxford Science Publications) (Paperback)
This is the well known text on the Mathematics of Diffusion by Crank. It mainly covers the analytical solution of the diffusion equation in virtually every known approach and for well known geometries (sheet, sphere, cylinder). It also studies the solution in infinite, semi-infinite and for domains with boundaries. Here is the chapter list:

1. The diffusion equation
2. Methods of solution when the diffusion coefficient is constant
3. Infinite and semin-infinite media
4. Diffusion in a plane sheet
5. Diffusion in a cylinder
6. Diffusion in a sphere
7. Concentration-dependent diffusion
8. Numerical Methods
9. Variable diffusion coefficients
10. The definition and measurement of diffusion coefficients
11. Non-Fickian diffusion
12. Diffusion in heterogeneous media
13. Moving boundaries
14. Diffusion and chemical reaction
15. Simultaneous diffusion of heat and moisture

Its pretty comprehensive as can be seen from the above. I've used it in the past and will no doubt make use of it in the future. Another excellent text from Oxford Science Publications.
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