140 citations · 245 across the 19 of their papers we have counts for
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Optimal order finite element approximations for variable-order time-fractional diffusion equations
Xiangcheng Zheng, Fanhai Zeng, Hong Wang
We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are prove…
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations
Fanhai Zeng, Ian Turner, Kevin Burrage +1
In this paper, we develop regularized discrete least squares collocation and finite volume methods for solving two-dimensional nonlinear time-dependent partial differential equatio…
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
Hui Zhang, Xiaoyun Jiang, Fanhai Zeng +1
The reaction-diffusion model can generate a wide variety of spatial patterns, which has been widely applied in chemistry, biology, and physics, even used to explain self-regulated…
Numerical analysis of linear and nonlinear time-fractional subdiffusion equations
Yubo Yang, Fanhai Zeng
In this paper, a new type of the discrete fractional Gr{ö}nwall inequality is developed, which is applied to analyze the stability and convergence of a Galerkin spectral method for…