Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen–Cahn model
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 …
various types of material heterogeneities and defects. In this study, we consider a nonlocal …
Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model
S Zhai, Z Weng, Y Mo, X Feng - Computers & Mathematics with …, 2024 - Elsevier
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 …
solving a nonlocal ternary Allen-Cahn (NtAC) model, where the standard Laplace operator …
A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model
Z Weng, X Yue, S Zhai - Applied Mathematics Letters, 2023 - Elsevier
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 …
types of material heterogeneities and defects. In this paper, we are concerned with …
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation
C Cui, J Liu, Y Mo, S Zhai - Applied Mathematics Letters, 2022 - Elsevier
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 …
Lagrange multiplier is studied. Firstly, based on the operator splitting method, the original …
An effective operator splitting method based on spectral deferred correction for the fractional Gray–Scott model
S Zhai, Z Weng, Q Zhuang, F Liu, V Anh - Journal of Computational and …, 2023 - Elsevier
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) …
(SDC) method with the operator splitting scheme to simulate the fractional Gray-Scott (GS) …
A family of structure-preserving exponential time differencing Runge–Kutta schemes for the viscous Cahn–Hilliard equation
We consider the numerical approximations of the viscous Cahn–Hilliard equation with either
the Ginzburg–Landau polynomial potential or Flory–Huggins logarithmic potential. One …
the Ginzburg–Landau polynomial potential or Flory–Huggins logarithmic potential. One …
A second-order strang splitting scheme with exponential integrating factor for the Allen–Cahn equation with logarithmic Flory–Huggins potential
C Wu, X Feng, Y He, L Qian - Communications in Nonlinear Science and …, 2023 - Elsevier
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 …
equation with logarithmic Flory–Huggins potential. It is well-known that the logarithmic Flory …
An explicit adaptive finite difference method for the Cahn–Hilliard equation
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 …
Hilliard (CH) equation which describes the process of phase separation. The CH equation …
Energy dissipation and evolutions of the nonlocal Cahn-Hilliard model and space fractional variants using efficient variable-step BDF2 method
Z Xue, S Zhai, X Zhao - Journal of Computational Physics, 2024 - Elsevier
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 …
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
F Liang, Y Zhang, S Zhao - Statistics & Probability Letters, 2024 - Elsevier
Blow-up solution to an abstract non-local stochastic heat equation with Lévy noise - ScienceDirect
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