Nanoparticles are usually small enough that they can pass through the porous media
without mechanically plugging the pore throats. However, physicochemical interaction …

The advection-diffusion equation or transport equation is investigated further. A simple
numerical approximation such as Du-Fort Frankel methods for advection-diffusion equation …

The collocation method based on the extended B-spline functions as trial functions is set up
to find numerical solutions of the advection-diffusion equation numerically. The transport of …

Physicochemical interaction between the nanoparticles and the pore walls can cause
significant retention of nanoparticles in porous media. The objective here is to provide …

This paper develops and validates a comprehensive and universally applicable
computational concept for solving nonlinear differential equations (NDEs) through a …

This paper describes an advection-diffusion mathematical model in facultative ponds of
different geometrical domains. The geometrical domains of the facultative ponds are the side …

Water pollution is one of the leading environmental issues faced especially at developing
countries all over the World. However, the study of pollution movement is a necessary basis …

The use of catalytic membranes in chemical reactor engineering has significantly improved
the reactor performance. Therefore, mathematical modelling and numerical simulations of …

Analytical solution has been obtained for one-dimensional advection-diffusion equation with
constant coefficients by using Laplace transformation. Also numerical solution has been …

A numerical method for solving the unsteady-one-dimensional advection-dispersion
equation for solute transport in streams and channels imposed with multiple point-loading is …