Comparing with the well-known classic Cahn–Hilliard equation, the nonlocal Cahn–Hilliard
equation is equipped with a nonlocal diffusion operator and can describe more practical …

A second-order accurate (in time) and linear numerical scheme is proposed and analyzed
for the nonlocal Cahn–Hilliard equation. The backward differentiation formula is used as the …

Comparing with the classical local gradient flow and phase field models, the nonlocal
models such as nonlocal Cahn–Hilliard equations equipped with nonlocal diffusion operator …

In this paper, we develop two second-order in time, linear and unconditionally energy stable
time marching schemes for solving the nonlocal Cahn–Hilliard phase field model. The main …

In this paper, we provide a detailed convergence analysis for a first order stabilized linear
semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation, which follows from …

We devise second-order accurate, unconditionally uniquely solvable and unconditionally
energy stable schemes for the nonlocal Cahn–Hilliard (nCH) and nonlocal Allen–Cahn …

This work is concerned with the Fourier spectral approximation of various integral differential
equations associated with some linear nonlocal diffusion and peridynamic operators under …

In this paper, we provide a detailed convergence analysis for fully discrete second‐order (in
both time and space) numerical schemes for nonlocal Allen‐Cahn and nonlocal Cahn …

Abstract Recently, the viscous Cahn-Hilliard (VCH) equation has been proposed as a
phenomenological continuum model for phase separation in glass and polymer systems …

The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by
replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the …