Fractional differential equations are being used to define numerous physical phenomena
instead of conventional ordinary or partial differential equations. The secret is to get more …

Purpose The classical integer derivative diffusionmodels for fluid flow within a channel of
parallel walls, for heat transfer within a rectangular fin and for impulsive acceleration of a …

In this paper, we study the magnetohydrodynamic (MHD) flow and heat transfer of the
fractional Jeffrey fluid in a straight channel, of which the cross section is a two-dimensional …

The anisotropic space-fractional diffusion equations in two dimensions are discretized by the
Crank-Nicolson difference scheme with the weighted and shifted Grünwald formula, which is …

In this study, we investigate the numerical discretization of two-dimensional fractional
Laplacian diffusion equations. After discretizing the space derivative, we split the discrete …

A new adaptive finite volume method is proposed for the simulation of the wave problems in
the time domain. The transient wave equations are discretized in time and space. A vertex …

In this paper, a two-sided variable-coefficient space-fractional diffusion equation with
fractional Neumann boundary condition is considered. To conquer the weak singularity …

In this paper, we develop an efficient splitting characteristic difference method for solving 2-
dimensional two-sided space-fractional advection–diffusion equation. The intermediate …

Traditionally, Fourier and Fick Laws are used for the characterization of heat and mass
transfer models, respectively. Despite producing good results in many cases, there are some …