Finite difference Methods for fractional differential equations. - Changpin Li; Fanhai Zeng (Int. J. Bifurc. Chaos, 2012)

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation. - Fanhai Zeng; Changpin Li; Fawang Liu; Ian W. Turner (SIAM J. Sci. Comput., 2013)

Energy-conserved splitting spectral methods for two dimensional Maxwell's equations. - Fanhai Zeng; Heping Ma; Dong Liang 004 (J. Comput. Appl. Math., 2014)

A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. - Fanhai Zeng; Fawang Liu; Changpin Li; Kevin Burrage; Ian W. Turner; Vo Anh (SIAM J. Numer. Anal., 2014)

Finite difference method for time-space-fractional Schrödinger equation. - Qun Liu; Fanhai Zeng; Changpin Li (Int. J. Comput. Math., 2015)

Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation. - Fanhai Zeng (J. Sci. Comput., 2015)

Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations. - Zhongqiang Zhang; Fanhai Zeng; George E. Karniadakis (SIAM J. Numer. Anal., 2015)

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. - Fanhai Zeng; Changpin Li; Fawang Liu; Ian W. Turner (SIAM J. Sci. Comput., 2015)

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations. - Fanhai Zeng; Zhongqiang Zhang; George E. Karniadakis (SIAM J. Sci. Comput., 2015)

Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. - Fanhai Zeng; Zhongqiang Zhang; George E. Karniadakis (J. Comput. Phys., 2016)

Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions. - Wanrong Cao; Fanhai Zeng; Zhongqiang Zhang; George E. Karniadakis (SIAM J. Sci. Comput., 2016)

Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. - Fangying Song; Fanhai Zeng; Wei Cai 003; Wen Chen; George E. Karniadakis (Comput. Math. Appl., 2017)

A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities. - Fanhai Zeng; Zhiping Mao; George E. Karniadakis (SIAM J. Sci. Comput., 2017)

On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. - Kevin Burrage; Pamela M. Burrage; Ian W. Turner; Fanhai Zeng (Axioms, 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)

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. - Fanhai Zeng; Ian W. Turner; Kevin Burrage (J. Sci. Comput., 2018)

A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. - Fanhai Zeng; Ian W. Turner; Kevin Burrage; George E. Karniadakis (SIAM J. Sci. Comput., 2018)

A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. - Fanhai Zeng; Ian W. Turner; Kevin Burrage; Stephen J. Wright 001 (J. Comput. Phys., 2019)

Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. - Ling Guo; Fanhai Zeng; Ian W. Turner; Kevin Burrage; George Em Karniadakis (SIAM J. Sci. Comput., 2019)

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)

Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium. - Yubo Yang; Li-Lian Wang; Fanhai Zeng (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)

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)

Error estimate of the fast L1 method for time-fractional subdiffusion equations. - Yuxiang Huang; Fanhai Zeng; Ling Guo (Appl. Math. Lett., 2022)

Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs. - Lei Ma; Rong xin Li; Fanhai Zeng; Ling Guo; George Em Karniadakis (CoRR, 2023)

Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models. - Simin Shekarpaz; Fanhai Zeng; George Em Karniadakis (CoRR, 2023)

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

A Corrected L1 Method for a Time-Fractional Subdiffusion Equation. - Zheng Yang; Fanhai Zeng (J. Sci. Comput., 2023)

A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation. - Zheng Yang; Fanhai Zeng (Appl. Math. Lett., 2023)

Enhanced parallel computation for time-fractional fluid dynamics: A fast time-stepping method with Newton-Krylov-Schwarz solver. - Li Xia; Xiaoyun Jiang; Fanhai Zeng; Zeng Lin; Shanlin Qin; Rongliang Chen (Commun. Nonlinear Sci. Numer. Simul., 2024)

A time two-grid algorithm for two-dimensional nonlinear time-fractional partial integro-differential equations. - Yusha Mei; Mingrong Cui; Fanhai Zeng (Math. Comput. Simul., 2024)

Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. - Qiao Zhuang; Alfa R. H. Heryudono; Fanhai Zeng; Zhongqiang Zhang (Appl. Math. Comput., 2024)