The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations

DOI10.1016/j.apnum.2021.04.010zbMath1469.35200OpenAlexW3154231965MaRDI QIDQ2029168

Zengqiang Tan, Cheng-Jian Zhang

Publication date: 3 June 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.04.010

zbMATH Keywords

maximum principleerror analysisfinite difference methodsenergy stabilityAllen-Cahn equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Crystalline structure (74E15) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation, Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations, A new linearized maximum principle preserving and energy stability scheme for the space fractional Allen-Cahn equation, Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations, Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation

Cites Work

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