A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer
In this study, we investigated some closed-form solutions for solving atmospheric dispersion issues under variable atmospherical hypothesis, in a vertically positioned non-homogeneous planetary boundary-layer. In our context, a nonidentical expansion for the solution of the fractional advection-diff...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844021011087 |
| _version_ | 1818929224929509376 |
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| author | Alain Sylvain Tankou Tagne Patrice Ele Abiama Jean Marie Ema'a Ema'a Pierre Owono Ateba Germain Hubert Ben-Bolie |
| author_facet | Alain Sylvain Tankou Tagne Patrice Ele Abiama Jean Marie Ema'a Ema'a Pierre Owono Ateba Germain Hubert Ben-Bolie |
| author_sort | Alain Sylvain Tankou Tagne |
| collection | DOAJ |
| description | In this study, we investigated some closed-form solutions for solving atmospheric dispersion issues under variable atmospherical hypothesis, in a vertically positioned non-homogeneous planetary boundary-layer. In our context, a nonidentical expansion for the solution of the fractional advection-diffusion equation in a non-integer dimensional-space was examined. In a nutshell, a Sturm-Liouville eigenvalue problem with more reliable information concerning the initial value problem is discussed. The performance of the model was estimated by presenting numerical simulations against experimental data. Under these meteorological conditions, fractional-order models performed far better than those of the classical integer-order ones. |
| first_indexed | 2024-12-20T03:41:25Z |
| format | Article |
| id | doaj.art-7254830b25c547c9a28a7dfc09df31d1 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-20T03:41:25Z |
| publishDate | 2021-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-7254830b25c547c9a28a7dfc09df31d12022-12-21T19:54:44ZengElsevierHeliyon2405-84402021-05-0175e07005A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layerAlain Sylvain Tankou Tagne0Patrice Ele Abiama1Jean Marie Ema'a Ema'a2Pierre Owono Ateba3Germain Hubert Ben-Bolie4Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon; Corresponding author.Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, CameroonUniversity of Maroua, Higher Teachers' Training College, PO Box 45, Maroua, CameroonLaboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, CameroonLaboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, CameroonIn this study, we investigated some closed-form solutions for solving atmospheric dispersion issues under variable atmospherical hypothesis, in a vertically positioned non-homogeneous planetary boundary-layer. In our context, a nonidentical expansion for the solution of the fractional advection-diffusion equation in a non-integer dimensional-space was examined. In a nutshell, a Sturm-Liouville eigenvalue problem with more reliable information concerning the initial value problem is discussed. The performance of the model was estimated by presenting numerical simulations against experimental data. Under these meteorological conditions, fractional-order models performed far better than those of the classical integer-order ones.http://www.sciencedirect.com/science/article/pii/S2405844021011087Closed-form analytical solutionFractional advection-diffusion equationAir contaminants modeling |
| spellingShingle | Alain Sylvain Tankou Tagne Patrice Ele Abiama Jean Marie Ema'a Ema'a Pierre Owono Ateba Germain Hubert Ben-Bolie A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer Heliyon Closed-form analytical solution Fractional advection-diffusion equation Air contaminants modeling |
| title | A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer |
| title_full | A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer |
| title_fullStr | A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer |
| title_full_unstemmed | A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer |
| title_short | A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer |
| title_sort | three dimensional fractional solution for air contaminants dispersal in the planetary boundary layer |
| topic | Closed-form analytical solution Fractional advection-diffusion equation Air contaminants modeling |
| url | http://www.sciencedirect.com/science/article/pii/S2405844021011087 |
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