This paper proposes a linearized fast high-order time-stepping scheme to solve the time–
space fractional Schrödinger equations. The time approximation is done by using the fast L2 …

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 …

A time-fractional Allen-Cahn initial-boundary value problem is considered, where the
bounded spatial domain Ω lies in R d for some d∈{1, 2, 3} and has smooth boundary or is …

A linearized transformed L1 Galerkin finite element method (FEM) is presented for
numerically solving the multi-dimensional time fractional Schrödinger equations …

In this work, we propose and analyze a high-order mapping operator between two grids to
construct a high-order two-grid difference algorithm for nonlinear partial differential …

A time-fractional initial–boundary value problem D t α u− Δ u= f, where D t α is a Caputo
fractional derivative of order α∈(0, 1), is considered on the space–time domain Ω×[0, T] …

A time-fractional Allen-Cahn problem is considered, where the spatial domain Ω is a
bounded subset of ℝ d R^d for some d∈ 1, 2, 3. New bounds on certain derivatives of the …

In this paper, we study the generalized time fractional Burgers equation, where the time
fractional derivative is in the sense of Caputo with derivative order in (0, 1). If its solution u (x …

This paper is concerned with the unconditionally optimal H 1-error estimate of a fast second-
order scheme for solving nonlinear subdiffusion equations on the nonuniform mesh. We use …

In this paper, we investigate the local discontinuous Galerkin (LDG) finite element method
for the fractional Allen-Cahn equation with Caputo-Hadamard derivative in the time domain …