Abstract
A Stefan-type problem is considered. This is an initial-boundary value problem on a composite domain for a parabolic reaction-diffusion equation with a moving interface boundary. At the moving boundary between the two subdomains, an interface condition is prescribed for the solution of the problem and its derivatives. A finite difference scheme is constructed that approximates the initial-boundary value problem. An iterative Newton-type method for the solution of the difference scheme and a numerical method for the analysis of the errors of the computed discrete solutions are both developed.
Highlights
The drying of granular materials is a high intensity process that is widely used in the food and pharmaceutical industry, in chemical technology and in other manufacturing processes [3, 5]
During the high temperature drying of granules in hot air flow, their heat and moisture undergo change through a wide range [4]
When constructing the finite difference scheme, whenever a moving boundary is present we introduce a change of variables that transforms the original problem into a problem with stationary interface for which a grid approximation is constructed
Summary
The drying of granular materials is a high intensity process that is widely used in the food and pharmaceutical industry, in chemical technology and in other manufacturing processes [3, 5]. During the high temperature drying of granules in hot air flow, their heat and moisture undergo change through a wide range [4]. The distributions of moisture content and temperature, which depend. Viscor on both the drying regime and material properties, define the kinetics of any associated chemical reactions [13]
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