A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem. - Hui Zhang 054; Xiaoyun Jiang; Xiu Yang (Appl. Math. Comput., 2018)

Spectral method for solving the time fractional Boussinesq equation. - Hui Zhang 054; Xiaoyun Jiang; Moli Zhao; Rumeng Zheng (Appl. Math. Lett., 2018)

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. - Hui Zhang 054; Fawang Liu; Xiaoyun Jiang; Fanhai Zeng; Ian W. Turner (Comput. Math. Appl., 2018)

L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations. - Rumeng Zheng; Xiaoyun Jiang; Hui Zhang 054 (Comput. Math. Appl., 2018)

Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation. - Hui Zhang 054; Xiaoyun Jiang; Chu Wang; Wenping Fan (Numer. Algorithms, 2018)

The inverse problem and the second order θ scheme with finite element method used for 2D nonlinear space fractional Schrödinger equation. - Wenping Fan; Hui Zhang 054 (Appl. Math. Lett., 2019)

Crank-Nicolson Fourier spectral methods for the space fractional nonlinear Schrödinger equation and its parameter estimation. - Hui Zhang 054; Xiaoyun Jiang; Chu Wang; Shanzhen Chen (Int. J. Comput. Math., 2019)

An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions. - Hui Zhang 054; Junqing Jia; Xiaoyun Jiang (Comput. Math. Appl., 2020)

Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. - Hui Zhang 054; Fanhai Zeng; Xiaoyun Jiang; George Em Karniadakis (CoRR, 2020)

A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. - Hui Zhang 054; Xiaoyun Jiang; Fanhai Zeng; George Em Karniadakis (J. Comput. Phys., 2020)

Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation. - Hui Zhang 054; Xiaoyun Jiang; Rumeng Zheng (Numer. Algorithms, 2020)

An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations. - Hui Zhang 054; Xiaoyun Jiang; Fanhai Zeng (Adv. Comput. Math., 2021)

Numerical study for the unsteady space fractional magnetohydrodynamic free convective flow and heat transfer with Hall effects. - Xiaoqing Chi; Hui Zhang 054 (Appl. Math. Lett., 2021)

An L1 Legendre-Galerkin spectral method with fast algorithm for the two-dimensional nonlinear coupled time fractional Schrödinger equation and its parameter estimation. - Junqing Jia; Xiaoyun Jiang; Hui Zhang 054 (Comput. Math. Appl., 2021)

Fast method and convergence analysis of fractional magnetohydrodynamic coupled flow and heat transfer model for generalized second-grade fluid. - Xiaoqing Chi; Hui Zhang 054; Xiaoyun Jiang (CoRR, 2022)

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. - Hui Zhang 054; Fawang Liu; Xiaoyun Jiang; Ian W. Turner (J. Comput. Appl. Math., 2022)

Fast time-stepping discontinuous Galerkin method for the subdiffusion equation. - Hui Zhang 054; Fanhai Zeng; Xiaoyun Jiang; Zhimin Zhang (CoRR, 2023)

Physics-informed neural network algorithm for solving forward and inverse problems of variable-order space-fractional advection-diffusion equations. - Shupeng Wang; Hui Zhang 054; Xiaoyun Jiang (Neurocomputing, 2023)