The nonlocal model has attracted a great attention in materials science for describing
various types of material heterogeneities and defects. In this study, we consider a nonlocal …

We present a new energy dissipation and maximum bound principle preserving scheme for
solving a nonlocal ternary Allen-Cahn (NtAC) model, where the standard Laplace operator …

The nonlocal model has attracted a great attention in materials field for describing various
types of material heterogeneities and defects. In this paper, we are concerned with …

An effective operator splitting scheme for solving the nonlocal Allen–Cahn equation with a
Lagrange multiplier is studied. Firstly, based on the operator splitting method, the original …

This paper presents a method by combining the semi-implicit spectral deferred correction
(SDC) method with the operator splitting scheme to simulate the fractional Gray-Scott (GS) …

We consider the numerical approximations of the viscous Cahn–Hilliard equation with either
the Ginzburg–Landau polynomial potential or Flory–Huggins logarithmic potential. One …

In this paper, we mainly consider the numerical approximation for the Allen-Cahn (AC)
equation with logarithmic Flory–Huggins potential. It is well-known that the logarithmic Flory …

In this study, we propose an explicit adaptive finite difference method (FDM) for the Cahn–
Hilliard (CH) equation which describes the process of phase separation. The CH equation …

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 …

Blow-up solution to an abstract non-local stochastic heat equation with Lévy noise - ScienceDirect
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