Energy-stable backward differentiation formula type fourier collocation spectral schemes for the Cahn-Hilliard equation | Zendy

Jun Zhou | Zendy; Kelong Cheng | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Energy-stable backward differentiation formula type fourier collocation spectral schemes for the Cahn-Hilliard equation

Author(s) -

Jun Zhou,

Kelong Cheng

Publication year - 2022

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci2202095z

Subject(s) - discretization , regularization (linguistics) , collocation (remote sensing) , stencil , spectral method , fourier transform , mathematics , term (time) , mathematical analysis , physics , computer science , computational science , quantum mechanics , machine learning , artificial intelligence

We present a variant of second order accurate in time backward differentiation formula schemes for the Cahn-Hilliard equation, with a Fourier collocation spectral approximation in space. A three-point stencil is applied in the temporal discretization, and the concave term diffusion term is treated explicitly. An addition-al Douglas-Dupont regularization term is introduced, which ensures the energy stability with a mild requirement. Various numerical simulations including the verification of accuracy, coarsening process and energy decay rate are presented to demonstrate the efficiency and the robustness of proposed schemes.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research