Approximate Solutions to a Degenerate Diffusion Equation with Absorption and Production: A Sharp Front Approach
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/1/55 |
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| Summary: | 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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| ISSN: | 2076-3417 |