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.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8170169PMC
http://dx.doi.org/10.1016/j.heliyon.2021.e07005DOI Listing

Publication Analysis

Top Keywords

three-dimensional fractional
4
fractional solution
4
solution air
4
air contaminants
4
contaminants dispersal
4
dispersal planetary
4
planetary boundary
4
boundary layer
4
layer study
4
study investigated
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!