Efficient, linear and fast numerical algorithm for the volume conserved nonlocal Allen-Cahn equation
DOI10.1016/j.apnum.2022.06.001zbMath1502.65081OpenAlexW4281641573WikidataQ113880060 ScholiaQ113880060MaRDI QIDQ2165862
Shilin Zeng, Jiangxing Wang, Xiao-Feng Yang, Zi-Qing Xie
Publication date: 23 August 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.06.001
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A semi-implicit spectral method for stochastic nonlocal phase-field models
- Adding adhesion to a chemical signaling model for somite formation
- Traveling waves in a convolution model for phase transitions
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
- Convergence analysis of the fully discrete hybridizable discontinuous Galerkin method for the Allen-Cahn equation based on the invariant energy quadratization approach
- Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense
- Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
- A continuum approach to modelling cell-cell adhesion
- Efficient numerical scheme for a dendritic solidification phase field model with melt convection
- Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation
- Implicit for local effects and explicit for nonlocal effects is unconditionally stable
- Solvability of a non-local problem with integral transmitting condition for mixed type equation with Caputo fractional derivative
- On a nonlocal phase-field system
- Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
- Nonlocal reaction—diffusion equations and nucleation
- Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- Conjugate Gradient Methods for Toeplitz Systems
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- A nonlocal problem with integral gluing condition for a third‐order loaded equation with parabolic‐hyperbolic operator involving fractional derivatives
- Option pricing when underlying stock returns are discontinuous
- Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations
- Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models
This page was built for publication: Efficient, linear and fast numerical algorithm for the volume conserved nonlocal Allen-Cahn equation
