A fourth-order finite difference method for the Allen–Cahn equation
Authors:
- Seokjun HamSHSeokjun Ham
- Seungyoon KangSKSeungyoon Kang
- Youngjin HwangYHYoungjin Hwang
- Gyeonggyu LeeGLGyeonggyu Lee
- Soobin KwakSKSoobin Kwak
- JyotiJYJyoti
- Junseok KimJunseok Kim
- 26 July 2024
- journal article
- research article
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 453
Abstract
No abstract availableKeywords
This publication has 36 references indexed in Scilit:
- High-order, unconditionally maximum-principle preserving finite element method for the Allen–Cahn equationApplied Numerical Mathematics, 2023
- Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equationsApplied Numerical Mathematics, 2023
- A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen–Cahn Equation with a Nonlocal Lagrange MultiplierJournal of Scientific Computing, 2021
- Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes EquationsJournal of Scientific Computing, 2021
- Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal EquationJournal of Scientific Computing, 2021
- A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equationApplied Numerical Mathematics, 2020
- Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger EquationJournal of Scientific Computing, 2019
- A central compact scheme for numerical solution of two-phase incompressible flow using Allen–Cahn phase field modelJournal of the Brazilian Society of Mechanical Sciences and Engineering, 2015
- A comparison study of ADI and operator splitting methods on option pricing modelsJournal of Computational and Applied Mathematics, 2013
- A microscopic theory for antiphase boundary motion and its application to antiphase domain coarseningActa Metallurgica, 1979