59 citations · 68 across the 5 of their papers we have counts for
5 papers
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…
Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations
Zhi-Yong Zhang, Hui Zhang, Li-Sheng Zhang +1
As a typical application of deep learning, physics-informed neural network (PINN) {has been} successfully used to find numerical solutions of partial differential equations (PDEs),…
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…
A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
Martin J. Gander, Hui Zhang
Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades, an important research effort has gone into developing preco…