In this work, we report an analytical solution for the point kinetics equations by the
decomposition method, assuming that the reactivity is an arbitrary function of time. The main …

The numerical calculation of local mass distributions in membrane systems by
computational fluid dynamics (CFD) offers indispensable benefits. However, the concept to …

In this study, an analytical solution for the steady-state fractional advection–diffusion
equation was obtained to simulate the atmospheric dispersion of pollutants in a vertically …

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 paper presents a semi-analytical solution for the steady advection–diffusion equation
that allows simulating the vertical turbulent dispersion of air pollution with deposition to the …

We present an analytical solution of the advection–diffusion equation of integer and
fractional order applied to the dispersion of pollutants in the planetary boundary layer. The …

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 …