In this study, we have used the concept of product-like fractal measure to analyze the fractal
heat transfer in anisotropic media. This concept was introduced by Li and Ostoja-Starzewski …

Analytical solutions of the advection-dispersion equation and related models are
indispensable for predicting or analyzing contaminant transport processes in streams and …

In this paper, a time dependent one-dimensional linear advection–diffusion equation with
Dirichlet homogeneous boundary conditions and an initial sine function is solved …

This article provides an overview of STANMOD, a Windows-based computer software
package for evaluating solute transport in soils and groundwater using analytical solutions …

Mathematical models describing contaminant transport in heterogeneous porous media are
often formulated as an advection–dispersion transport equation with distance-dependent …

Mobile multi-robot systems are well suited for gas leak localization in challenging
environments. They offer inherent advantages such as redundancy, scalability, and …

Analytical solutions for coupled multi-species solute transport problems are difficult to derive
and relatively few in subsurface hydrology. Decomposition strategy such as linear transform …

This study presents exact analytical solutions to the two-dimensional advection–dispersion
equation in cylindrical coordinates in finite domain subject to the first-and third-type inlet …

This study presents a generalized analytical solution for one-dimensional solute transport in
finite spatial domain subject to arbitrary time-dependent inlet boundary condition. The …

We investigate the null controllability of the linear advection-dispersion (LAD) equation
posed on a finite interval. To this end, we employ the Fokas method to determine boundary …