Fanhai Zeng

Orcid: 0000-0003-4507-1278

According to our database1, Fanhai Zeng authored at least 32 papers between 2012 and 2024.

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Bibliography

2024
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions.
Appl. Math. Comput., May, 2024

A time two-grid algorithm for two-dimensional nonlinear time-fractional partial integro-differential equations.
Math. Comput. Simul., 2024

Enhanced parallel computation for time-fractional fluid dynamics: A fast time-stepping method with Newton-Krylov-Schwarz solver.
Commun. Nonlinear Sci. Numer. Simul., 2024

2023
A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation.
Appl. Math. Lett., October, 2023

A Corrected L1 Method for a Time-Fractional Subdiffusion Equation.
J. Sci. Comput., June, 2023

Fast time-stepping discontinuous Galerkin method for the subdiffusion equation.
CoRR, 2023

Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models.
CoRR, 2023

Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs.
CoRR, 2023

2022
Error estimate of the fast L1 method for time-fractional subdiffusion equations.
Appl. Math. Lett., 2022

2021
An H<sup>1</sup> convergence of the spectral method for the time-fractional non-linear diffusion equations.
Adv. Comput. Math., 2021

2020
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations.
J. Comput. Phys., 2020

Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium.
CoRR, 2020

Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations.
CoRR, 2020

2019
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations.
SIAM J. Sci. Comput., 2019

A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations.
J. Comput. Phys., 2019

2018
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations.
SIAM J. Sci. Comput., 2018

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators.
J. Sci. Comput., 2018

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation.
Comput. Math. Appl., 2018

On the Analysis of Mixed-Index Time Fractional Differential Equation Systems.
Axioms, 2018

2017
A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities.
SIAM J. Sci. Comput., 2017

Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes.
Comput. Math. Appl., 2017

2016
Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions.
SIAM J. Sci. Comput., 2016

Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations.
J. Comput. Phys., 2016

2015
A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations.
SIAM J. Sci. Comput., 2015

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy.
SIAM J. Sci. Comput., 2015

Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations.
SIAM J. Numer. Anal., 2015

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

Finite difference method for time-space-fractional Schrödinger equation.
Int. J. Comput. Math., 2015

2014
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation.
SIAM J. Numer. Anal., 2014

Energy-conserved splitting spectral methods for two dimensional Maxwell's equations.
J. Comput. Appl. Math., 2014

2013
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation.
SIAM J. Sci. Comput., 2013

2012
Finite difference Methods for fractional differential equations.
Int. J. Bifurc. Chaos, 2012


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