Barycentric interpolation collocation method based on Crank-Nicolson scheme for the Allen-Cahn equation

DOI10.3934/math.2021229OpenAlexW3127186344MaRDI QIDQ2144868

Yangfang Deng, Zhifeng Weng

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021229

zbMATH Keywords

Crank-Nicolson schemeAllen-Cahn equationconsistency analysisbarycentric interpolation collocation methodenergy decline

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems ⋮ A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations ⋮ Operator splitting scheme based on barycentric Lagrange interpolation collocation method for the Allen-Cahn equation

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