A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer
Alain Sylvain Tankou Tagne,
Patrice Ele Abiama,
Jean Marie Ema'a Ema'a,
Pierre Owono Ateba,
Germain Hubert Ben-Bolie
Affiliations
Alain Sylvain Tankou Tagne
Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon; Corresponding author.
Patrice Ele Abiama
Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon
Jean Marie Ema'a Ema'a
University of Maroua, Higher Teachers' Training College, PO Box 45, Maroua, Cameroon
Pierre Owono Ateba
Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon
Germain Hubert Ben-Bolie
Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon
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.
