This paper presents a defect correction scheme based on finite-difference discretization for a
singularly perturbed convection-dominated diffusion problem. The solution of this class of …

In this work, we provide a compact finite-difference scheme (CFDS) of 2D time-fractional
convection–diffusion equation (TF-CDE) for solving fluid dynamics problem, especially …

Purpose–The diffusion‐advection phenomena occur in many physical situations such as,
the transport of heat in fluids, flow through porous media, the spread of contaminants in …

The numerical solution of convection‐diffusion transport problems arises in many important
applications in science and engineering. These problems occur in many applications such …

A new fourth-order compact difference scheme for the three-dimensional (3D) convection
diffusion equation with variable coefficients is presented. The novelty of this new difference …

In this paper, a family of new finite difference (NFD) methods for solving the convection-
diffusion equation with singularly perturbed parameters are considered. By taking account of …

In this paper we develop an optimal weighted upwinding covolume method on non‐
standard covolume grids for convection–diffusion problems in two dimensions. The novel …

In this paper, the conservation characteristic difference method based on the second-order
modified upwind scheme is analyzed for solving the two-dimensional convection-diffusion …

Meteorology has made significant strides in recent years due to the development of new
technologies. With the aid of the latest instruments, the analysis of atmospheric data can be …

This paper develops and analyzes the optimal weighted upwind finite volume method
(OWUFVM) for convection–diffusion equations on nonuniform rectangular meshes. The dual …