Fanhai Zeng

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 23

Top Topics

Diffusion Equation

Finite Difference

Top Venues

SIAM J. Sci. Comput.

J. Sci. Comput.

J. Comput. Phys.

Publications

Qiao Zhuang, Alfa R. H. Heryudono, Fanhai Zeng, Zhongqiang Zhang
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. Appl. Math. Comput. 469 (2024)
Li Xia, Xiaoyun Jiang, Fanhai Zeng, Zeng Lin, Shanlin Qin, Rongliang Chen
Enhanced parallel computation for time-fractional fluid dynamics: A fast time-stepping method with Newton-Krylov-Schwarz solver. Commun. Nonlinear Sci. Numer. Simul. 133 (2024)
Yusha Mei, Mingrong Cui, Fanhai Zeng
A time two-grid algorithm for two-dimensional nonlinear time-fractional partial integro-differential equations. Math. Comput. Simul. 221 (2024)
Lei Ma, Rong xin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis
Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs. CoRR (2023)
Zheng Yang, Fanhai Zeng
A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation. Appl. Math. Lett. 144 (2023)
Zheng Yang, Fanhai Zeng
A Corrected L1 Method for a Time-Fractional Subdiffusion Equation. J. Sci. Comput. 95 (3) (2023)
Hui Zhang, Fanhai Zeng, Xiaoyun Jiang, Zhimin Zhang
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation. CoRR (2023)
Simin Shekarpaz, Fanhai Zeng, George Em Karniadakis
Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models. CoRR (2023)
Yuxiang Huang, Fanhai Zeng, Ling Guo
Error estimate of the fast L1 method for time-fractional subdiffusion equations. Appl. Math. Lett. 133 (2022)
Hui Zhang, Xiaoyun Jiang, Fanhai Zeng
convergence of the spectral method for the time-fractional non-linear diffusion equations. Adv. Comput. Math. 47 (5) (2021)
Hui Zhang, Fanhai Zeng, Xiaoyun Jiang, George Em Karniadakis
Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. CoRR (2020)
Yubo Yang, Li-Lian Wang, Fanhai Zeng
Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium. CoRR (2020)
Hui Zhang, Xiaoyun Jiang, Fanhai Zeng, George Em Karniadakis
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. J. Comput. Phys. 405 (2020)
Fanhai Zeng, Ian W. Turner, Kevin Burrage, Stephen J. Wright
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. J. Comput. Phys. 394 (2019)
Ling Guo, Fanhai Zeng, Ian W. Turner, Kevin Burrage, George Em Karniadakis
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. SIAM J. Sci. Comput. 41 (4) (2019)
Hui Zhang, Fawang Liu, Xiaoyun Jiang, Fanhai Zeng, Ian W. Turner
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Comput. Math. Appl. 76 (10) (2018)
Fanhai Zeng, Ian W. Turner, Kevin Burrage
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. J. Sci. Comput. 77 (1) (2018)
Fanhai Zeng, Ian W. Turner, Kevin Burrage, George E. Karniadakis
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. SIAM J. Sci. Comput. 40 (5) (2018)
Kevin Burrage, Pamela M. Burrage, Ian W. Turner, Fanhai Zeng
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7 (2) (2018)
Fanhai Zeng, Zhiping Mao, George E. Karniadakis
A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities. SIAM J. Sci. Comput. 39 (1) (2017)
Fangying Song, Fanhai Zeng, Wei Cai, Wen Chen, George E. Karniadakis
Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. Comput. Math. Appl. 73 (6) (2017)
Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. J. Comput. Phys. 307 (2016)
Wanrong Cao, Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis
Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions. SIAM J. Sci. Comput. 38 (5) (2016)
Qun Liu, Fanhai Zeng, Changpin Li
Finite difference method for time-space-fractional Schrödinger equation. Int. J. Comput. Math. 92 (7) (2015)
Zhongqiang Zhang, Fanhai Zeng, George E. Karniadakis
Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations. SIAM J. Numer. Anal. 53 (4) (2015)
Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. SIAM J. Sci. Comput. 37 (1) (2015)
Fanhai Zeng
Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation. J. Sci. Comput. 65 (1) (2015)
Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis
A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations. SIAM J. Sci. Comput. 37 (6) (2015)
Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52 (6) (2014)
Fanhai Zeng, Heping Ma, Dong Liang
Energy-conserved splitting spectral methods for two dimensional Maxwell's equations. J. Comput. Appl. Math. 265 (2014)
Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation. SIAM J. Sci. Comput. 35 (6) (2013)
Changpin Li, Fanhai Zeng
Finite difference Methods for fractional differential equations. Int. J. Bifurc. Chaos 22 (4) (2012)