Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation

DOI10.1007/s11425-022-2036-8arXiv2209.03647MaRDI QIDQ6139328

Cheng Wang, Xiao Li, ZhongHua Qiao

Publication date: 18 January 2024

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.03647

zbMATH Keywords

nonlocal Cahn-Hilliard equationhigher-order consistency analysisrough and refined error estimatesecond-order stabilized scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Perturbations in context of PDEs (35B20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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