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An adaptive BDF2 implicit time-stepping method for the phase field crystal model
Hong-lin Liao, Bingquan Ji, Luming Zhang
An adaptive BDF2 implicit time-stepping method is analyzed for the phase field crystal model. The suggested method is proved to preserve a modified energy dissipation law at the di…
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
A time-fractional Allen-Cahn equation with volume constraint is first proposed by introducing a nonlocal time-dependent Lagrange multiplier. Adaptive linear second-order energy sta…
A fourth-order compact solver for fractional-in-time fourth-order diffusion equations
Jialing Zhong, Hong-lin Liao, Bingquan Ji +1
A fourth-order compact scheme is proposed for a fourth-order subdiffusion equation with the first Dirichlet boundary conditions. The fourth-order problem is firstly reduced into a…
Simple maximum-principle preserving time-stepping methods for time-fractional Allen-Cahn equation
Bingquan Ji, Hong-lin Liao, Luming Zhang
Two fast L1 time-stepping methods, including the backward Euler and stabilized semi-implicit schemes, are suggested for the time-fractional Allen-Cahn equation with Caputo's deriva…