Discrete maximum principle and energy stability of the compact difference scheme for two-dimensional Allen-Cahn equation

DOI10.1155/2022/8522231OpenAlexW4211109278MaRDI QIDQ2670296

Yu Bo, Dan Tian, Yuanfeng Jin, Xiao Liu

Publication date: 10 March 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/8522231

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (4)

An adaptive time-stepping algorithm for the Allen-Cahn equation ⋮ Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme ⋮ Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations ⋮ A fourth-order finite difference method for the Allen-Cahn equation

Cites Work

• Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method
• A semi-analytical Fourier spectral method for the Allen-Cahn equation
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