1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
On some analytic properties of nabla tempered fractional calculus
Yiheng Wei, Linlin Zhao, Xuan Zhao +1
Despite many applications regarding fractional calculus have been reported in literature, it is still unknown how to model some practical process. One major challenge in solving su…
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…