Numerical analysis of a stabilized Crank–Nicolson/Adams–Bashforth finite difference scheme for Allen–Cahn equations
Author:
Funder
National Natural Science Foundation of China
Publisher
Elsevier BV
Subject
Applied Mathematics
Reference11 articles.
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2. An unconditionally gradient stable numerical method for solving the Allen-Cahn equation;Choi;Physica A,2009
3. Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows;Feng;Numer. Math.,2003
4. Nonlinearly stable implicit-explicit methods for the Allen-Cahn equation;Feng;Inverse Probl. Imaging,2013
5. Numerical approximations of Allen-Cahn and Cahn-Hilliard equations;Shen;Discrete Contin. Dyn. Syst. Ser. A,2010
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1. A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility;Applied Numerical Mathematics;2025-01
2. A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen–Cahn equation;Applied Mathematics Letters;2024-12
3. Maximum bound principle preserving additive partitioned Runge-Kutta schemes for the Allen-Cahn equation;Journal of Computational Physics;2024-11
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5. A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen-Cahn Equation with a General Mobility;ADV APPL MATH MECH;2024
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