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Energy stability and convergence of variable-step L1 scheme for the time fractional Swift-Hohenberg model
Xuan Zhao, Ran Yang, Ren-jun Qi +1
A fully implicit numerical scheme is established for solving the time fractional Swift-Hohenberg (TFSH) equation with a Caputo time derivative of order . The variable-st…
Energy stable and norm convergent BDF3 scheme for the Swift-Hohenberg equation
Xuan Zhao, Ran Yang, Zhongqin Xue +1
A fully discrete implicit scheme is proposed for the Swift-Hohenberg model, combining the third-order backward differentiation formula (BDF3) for the time discretization and the se…
Error estimate of the nonuniform type formula for the time fractional diffusion-wave equation
Hong Sun, Yanping Chen, Xuan Zhao
In this paper, a temporal nonuniform type difference scheme is built up for the time fractional diffusion-wave equation with the help of the order reduction technique. The unc…
Error analysis of the implicit variable-step BDF2 method for the molecular beam epitaxial model with slope selection
Xuan Zhao, Haifeng Zhang, Hong Sun
We derive unconditionally stable and convergent variable-step BDF2 scheme for solving the MBE model with slope selection. The discrete orthogonal convolution kernels of the variabl…