Analytical solution of the steady-state atmospheric fractional diffusion equation in a finite domain
| Autor: | Ben-Bolie Germain Hubert, Owono Ateba Pierre, Ema’a Ema’a Jean Marie, Tankou Tagne Alain Sylvain, Ele Abiama Patrice |
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| Rok vydání: | 2021 |
| Předmět: |
Work (thermodynamics)
Steady state 010308 nuclear & particles physics Anomalous diffusion General Physics and Astronomy Integral transform 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas Fractional calculus symbols.namesake Mittag-Leffler function 0103 physical sciences symbols Applied mathematics Diffusion (business) Mathematics |
| Zdroj: | Pramana. 95 |
| ISSN: | 0973-7111 0304-4289 |
| Popis: | In this work, an analytical solution for the steady-state fractional advection-diffusion equation was investigated to simulate the dispersion of air pollutants in a finite media. The authors propose a method that uses classic integral transform technique (CITT) to solve the transformed problem with a fractional derivative, resulting in a more general solution. We compare the solutions with data from real experiment. Physical consequences are discussed with the connections to generalised diffusion equations. In the wake of these analysis, the results indicate that the present solutions are in good agreement with those obtained in the literature. This report demonstrates that fractional equations have come of age as a decisive tool to describe anomalous transport processes. |
| Databáze: | OpenAIRE |
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