A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach

Yifan Wei,Jiwei Zhang,Chengchao Zhao,Yanmin Zhao

arxiv（2022）

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摘要

An adaptive implicit-explicit (IMEX) BDF2 scheme is investigated on generalized SAV approach for the Cahn-Hilliard equation by combining with Fourier spectral method in space. It is proved that the modified energy dissipation law is unconditionally preserved at discrete levels. Under a mild ratio restriction, i.e., \Ass{1}: $0更多

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adaptive imex bdf2 scheme,energy dissipative,cahn-hilliard

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