Approximate Solutions to a Degenerate Diffusion Equation with Absorption and Production: A Sharp Front Approach
Year: 2024
Type: article
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.
Source: Applied Sciences
DOI: 10.3390/app15010055
Author: Jordan Hristov
Institution: University of Chemical Technology and Metallurgy
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4405782091