In this paper, the Crank–Nicolson Fourier spectral approximations for solving the space
fractional nonlinear Schrödinger equation are proposed. Firstly, the numerical formats of the …

In this paper, a number of energy stable numerical schemes are proposed for the fractional
Cahn–Hilliard equation. We prove mass conservation, unique solvability and energy stability …

In this paper, a space–time fractional Allen–Cahn equation is investigated to account for the
memory effect of certain materials or the anomalous diffusion processes in heterogeneous …

In this paper, we consider a fast explicit operator splitting method for a fractional Cahn-
Hilliard equation with spatial derivative (− Δ) α 2 (-\varDelta)^α2 (α∈(1, 2), where the choice …

In this paper, we introduce a space-fractional version of the molecular beam epitaxy (MBE)
model without slope selection to describe super-diffusion in the model. Compared to the …

Abstract The Swift–Hohenberg model is a very important phase field crystal model which
can describe many crystal phenomena. This model with quadratic–cubic nonlinearity based …

In this paper, we consider a second‐order fast explicit operator splitting method for the
viscous Cahn‐Hilliard equation, which includes a viscosity term αΔut (α∈(0, 1)) described …

In this paper, we propose and study non-overlapping substructuring type algorithms for the
Cahn–Hilliard (CH) equation, which was originally proposed to describe the phase …

In this work, an energy stable BDF2 scheme with general nonuniform time steps is
developed for the nonlocal Cahn-Hilliard model to capture the multi-scale behavior of …

Abstract The Swift-Hohenberg model is a very important phase field crystal model which can
be described many crystal phenomena. This model with quadratic-cubic nonlinearity based …