Approximate Solutions to a Degenerate Diffusion Equation with Absorption and Production: A Sharp Front Approach
Source abstract
Abstract
Approximate analytical solutions to a degenerate reaction–diffusion model with power-law absorption (source) and production (sink) terms have been developed. The integral-balance method applied to a preliminary transformed model and by a direct integration approach has provided physically reasonable results. The model equation scaling has revealed the characteristic length and times scales and the Fourier number as the controlling dimensionless group.
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Research context
OpenAlex topics: Differential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering · Fractional Differential Equations Solutions
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Affiliations
Department of Chemical Engineering, University of Chemical Technology and Metallurgy, 8 Kliment Ohridsky, Blvd., 1756 Sofia, Bulgaria
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