In this study, we propose a simple direct meshless scheme based on the Gaussian radial
basis function for the one-dimensional linear and nonlinear convection–diffusion problems …

A new cubic trigonometric B-spline collocation approach is developed for the numerical
solution of the advection–diffusion equation with Dirichlet and Neumann's type boundary …

This paper investigates the influence of pore space heterogeneity on the adsorption
dynamics in a single-phase flow. The sensitivity of adsorption dynamics to changes in …

Water is one of the main constituents on earth for a living. The Advection Diffusion Equation
(ADE) serves as an essential water standard model in environmental engineering since …

This paper presents the first systematic pore-scale study of the dynamic adsorption of a
water-soluble catalyst during two-phase flows of immiscible fluids (water and oil) in porous …

A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion
equation is proposed to solve groundwater pollution problems. A suitable scheme is …

The authors of the original paper estimated the effects of climatic variability and human
activities on streamflow in the Hutuo River Basin, China. They investigated the long-term …

An early warning model for simulating conventional sudden water pollution in a plain river
network based on a mainstream algorithm is first developed, and a calculation method for …

The present article is concerned with the implementation of the compact finite difference
scheme, in the space and the optimal four-stage, order three strong stability-preserving time …

In this paper, a new meshless semi-analytical collocation technique is presented for the
simulation of time-dependent linear and fully nonlinear advection diffusion reaction …