We establish a unified framework to study the conforming and nonconforming virtual
element methods (VEMs) for a class of time dependent fourth-order reaction–subdiffusion …

The main aim of the current paper is to solve the multi-dimensional generalized modified
anomalous sub-diffusion equation by using a new spectral element method. At first, the time …

An adaptive finite difference scheme for variable-order fractional-time subdiffusion equations
in the Caputo form is studied. The fractional-time derivative is discretized by the L1 …

A set of high-order compact finite difference methods is proposed for solving a class of
Caputo-type fractional sub-diffusion equations in conservative form. The diffusion coefficient …

An implicit finite difference scheme based on the $ L2 $-$1 _ {\sigma} $ formula is presented
for a class of one-dimensional time fractional reaction-diffusion equations with variable …

In this paper, a higher‐order compact finite difference scheme with multigrid algorithm is
applied for solving one‐dimensional time fractional diffusion equation. The second‐order …

The fractional wave equation governs the propagation of mechanical diffusive waves in
viscoelastic media which exhibits a power-law creep, and consequently provided a physical …

Fourier stability analysis works well and is popular for the finite difference schemes of the
linear partial differential equations. However, there are less works on the Fourier …

An adaptive finite difference scheme for a class of variable-order fractional-time subdiffusion
equations is studied. The Caputo fractional time derivative is discretized by means of the L1 …

In this paper, a higher-order compact finite difference scheme with multigrid algorithm is
applied for solving one dimensional time fractional diffusion equation. The second order …