In this paper, a new concept of variable differentiation is used to revisit the model of
groundwater pollution. The new variable order derivation has a non-singular kernel and can …

The hydrodynamic dispersion equation was generalized using the concept of variational
order derivative. The modified equation was numerically solved via the Crank-Nicholson …

Contamination of groundwater remains a big challenge. Researchers have developed
mathematical models in order to be able to portray the behavior of the flow and the transport …

The hydrodynamic dispersion equation was generalized using the concept of variational
order derivative. The modified equation was numerically solved via the Crank‐Nicholson …

The analytical solution of the convection diffusion equation is considered by two-
dimensional Fourier transform and the inverse Fourier transform. To get the numerical …

In this paper, a simulation method called the differential transform or Taylor transform
method is employed to predict the advective–dispersive transport problems. Such problems …

In this study, one-dimensional advection dispersion equation is solved for the concentration
of water pollutant. To solve the differential equation, the Laplace's transform technique has …

In this paper, one-dimensional advection-dispersion equation for concentration of the water
pollutants is solved assuming non-zero dispersion coefficient. To solve the dispersion …

Analytical and numerical solutions are obtained for two-dimensional advection-diffusion
equation, using Laplace transformation technique and explicit finite difference method for …