Fractional phase field models have been reported to suitably describe the anomalous two-
phase transport in heterogeneous porous media, evolution of structural damage, and image …

In this paper a lattice Boltzmann equation (LBE) method is designed that is different from the
previous LBE for the Cahn-Hilliard equation (CHE). The starting point of the present CHE …

In this paper, an efficient finite difference scheme is developed for solving the time-fractional
Cahn–Hilliard equations which is the well-known representative of phase-field models. The …

This article is devoted to designing efficient linear finite element algorithm for the fractional
Cahn–Hilliard equation, an important and newly proposed phase field model. Combining …

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 …

An implicit variable-step BDF2 scheme is established for solving the space fractional Cahn-
Hilliard equation, involving the fractional Laplacian, derived from a gradient flow in the …

A lattice Boltzmann model for the fractional sub‐diffusion equation is presented. By using the
Chapman–Enskog expansion and the multiscale time expansion, several higher‐order …

An efficient numerical algorithm for the time-space fractional Cahn-Hilliard equation was
proposed. Firstly, the time-space fractional Cahn-Hilliard equation was converted into the …

Abstract The space fractional Cahn–Hilliard phase-field model is more adequate and
accurate in the description of the formation and phase change mechanism than the classical …

In this paper, a Riesz space fractional reaction-diffusion equation with non-linear source
term is considered on a finite domain. This equation is commonly used to describe …