Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen–Cahn equation

DOI10.1134/S1995423917020082zbMath1399.65211OpenAlexW2621240550MaRDI QIDQ5374078

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Publication date: 6 April 2018

Published in: Numerical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995423917020082

zbMATH Keywords

finite difference methodAllen-Cahn equationmaximum normdiscrete boundedness stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Numerical analysis of energy-stable Crank-Nicolson finite difference schemes for the phase-field equation ⋮ Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations ⋮ A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model ⋮ A finite element method for Allen-Cahn equation on deforming surface ⋮ A practical adaptive grid method for the Allen-Cahn equation ⋮ Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation

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