109 citations · 390 across the 7 of their papers we have counts for
7 papers
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model
Bingquan Ji, Xiaohan Zhu, Hong-lin Liao
The positive definiteness of discrete time-fractional derivatives is fundamental to the numerical stability (in the energy sense) for time-fractional phase-field models. A novel te…
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model
Hong-lin Liao, Bingquan Ji, Lin Wang +1
The two-step backward differential formula (BDF2) with unequal time-steps is applied to construct an energy stable convex-splitting scheme for the Cahn-Hilliard model. We focus on…
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…
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
Adaptive second-order Crank-Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for the time-fractional Molecular Beam Epitaxial…
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…