In this paper, two finite difference/element approaches for the time-fractional subdiffusion
equation with Dirichlet boundary conditions are developed, in which the time direction is …

This article aims to fill in the gap of the second-order accurate schemes for the time-
fractional subdiffusion equation with unconditional stability. Two fully discrete schemes are …

The fractional derivatives include nonlocal information and thus their calculation requires
huge storage and computational cost for long time simulations. We present an efficient and …

This study is devoted to constructing an approximate analytic solution of the fractional form
of a strongly nonlinear boundary value problem with multi‐fractional derivatives that comes …

In this paper, we are concerned with numerical methods for the solution of initial–boundary
value problems of anomalous diffusion equations of order α∈(1, 2). The classical Crank …

Fractional partial differential equations (PDEs) provide a powerful and flexible tool for
modeling challenging phenomena including anomalous diffusion processes and long-range …

In this paper, preconditioned iterative methods for solving two-dimensional space-fractional
diffusion equations are considered. The fractional diffusion equation is discretized by a …

Fractional diffusion equations model phenomena exhibiting anomalous diffusion that cannot
be modeled accurately by second-order diffusion equations. Because of the non-local …

A high order finite difference-spectral method is derived for solving space fractional diffusion
equations, by combining the second order finite difference method in time and the spectral …

Fractional partial differential equations (FPDEs) provide better modeling capabilities for
challenging phenomena with long-range time memory and spatial interaction than integer …