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 …

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 …

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 …

In this paper, we study a second-order accurate and linear numerical scheme for the
nonlocal Cahn-Hilliard equation. The scheme is established by combining a modified Crank …

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 …

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 …

In comparison with the Cahn–Hilliard equation, the classic Allen-Cahn equation satisfies the
maximum bound principle (MBP) but fails to conserve the mass along the time. In this paper …

Due to the energetic variational structure inherent in the nonlocal phase field model, the
energy of the system naturally decreases over time according to the Nonlocal Cahn–Hilliard …

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 …

We present several first-order and second-order numerical schemes for the Cahn–Hilliard
equation with unconditional energy stability in terms of a discrete energy. These schemes …