In this work, we present a review of the GILTT (Generalized Integral Laplace Transform
Technique) solutions for the one and two-dimensional, time-dependent, advection–diffusion …

Air quality in the mining sector is a serious environmental concern and associated with many
health issues. Air quality management in mining regions has been facing many challenges …

For the dispersion of a pollutant released from a continuous source in the atmospheric
boundary layer (ABL), a generalized analytical model describing the crosswind-integrated …

A unified analytical solution of the steady-state atmospheric diffusion equation for a finite
and semi-infinite/infinite media was developed using the classic integral transform technique …

This study presents a dispersion model based on an analytical solution of two-dimensional
advection-diffusion equation to simulate the crosswind integrated concentration in the …

We report a general analytical formulation for pollutant dispersion in the atmosphere by
solving the time-dependent three-dimensional advection–diffusion equation for an arbitrary …

The worldwide concern due to the increasing frequency of ecological disasters on our planet
urged the scientific community to take action. One of the possible measures are analytical …

Nowadays, several applications in engineering and science are considering fractional
partial differential equations. However, this type of equation presents new challenges to …

A new model is proposed for the so-called scalar footprint and flux footprint in the
atmospheric boundary layer. The underlying semi-analytical model allows computing the …

Analytical solutions of equations are of fundamental importance in understanding and
describing physical phenomena, since they are able to take into account all the parameters …