59 citations · 62 across the 5 of their papers we have counts for
5 papers
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation
Hui Zhang, Fanhai Zeng, Xiaoyun Jiang +1
The nonlocality of the fractional operator causes numerical difficulties for long time computation of the time-fractional evolution equations. This paper develops a high-order fast…
Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity
Junqing Jia, Xiaoyun Jiang
An improved uniform error bound at is established in -norm for the long-time dynamics of the nonlinear space fractional Klein-Gordon…
Fast method and convergence analysis of fractional magnetohydrodynamic coupled flow and heat transfer model for generalized second-grade fluid
Xiaoqing Chi, Hui Zhang, Xiaoyun Jiang
In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. This coupled model consists…
Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations
Hui Zhang, Fanhai Zeng, Xiaoyun Jiang +1
In 1986, Dixon and McKee developed a discrete fractional Grönwall inequality [Z. Angew. Math. Mech., 66 (1986), pp. 535--544], which can be seen as a generalization of the classica…
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…