ON THE THEORY OF DIFFUSION IN MEDIA WITH DOUBLE DIFFUSIVITY II. BOUNDARY-VALUE PROBLEMS

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Abstract
The theory of diffusion in media with double diffusivity is described by a system of coupled linear partial differential equations of parabolic type. Qualitative aspects and basic source solutions were considered in Part I of this paper. In Part II, typical initial boundary-value problems are formulated and solved. The solution technique is based on establishing a correspondence between solutions of the present theory and the ‘classical’ diffusion theory. This process avoids inverting complicated Laplace transforms and implies that solutions to the present initial boundary-value problems can be expressed in terms of ‘classical’ diffusion functions.

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