We consider a boundary value problem in weak form of a steady-state Riesz space-
fractional diffusion equation (FDE) of order 2-α with 0<α<1. By using a finite volume …

In this paper, the multi-term temporal fractional order and temporal distributed-order
parabolic equations with fractional Laplacian are numerically investigated. Several …

In this paper, a τ-preconditioner for a novel fourth-order finite difference scheme of two-
dimensional Riesz space-fractional diffusion equations (2D RSFDEs) is considered, in …

We propose a rational preconditioner for an efficient numerical solution of linear systems
arising from the discretization of multi-dimensional Riesz fractional diffusion equations. In …

By the rapid growth of available data, providing data‐driven solutions for nonlinear
(fractional) dynamical systems becomes more important than before. In this paper, a new …

Abstract Nodal Integral Methods (NIM) are prevalent for solving neutron transport equations.
Due to the success of this method for solving neutron transport problems, the method was …

In this paper, an efficient cell-centered extrapolation cascadic multigrid (CEXCMG) method
is proposed for solving large linear system of equations resulting from finite volume (FV) …

In this paper, we consider the numerical study for the multi-dimensional fractional-in-space
Allen-Cahn equation with homogeneous Dirichlet boundary condition. By utilizing Strang's …

It is well known that the discretization of fractional diffusion equations with fractional
derivatives α∈(1, 2) α ∈\left (1, 2\right), using the so‐called weighted and shifted Grünwald …

We focus on a two-dimensional time-space diffusion equation with fractional derivatives in
space. The use of Crank-Nicolson in time and finite differences in space leads to dense …