Fanhai Zeng
Fanhai Zeng
Verified email at sdu.edu.cn
Title
Cited by
Cited by
Year
Numerical methods for fractional calculus
C Li, F Zeng
Chapman and Hall/CRC, 2015
527*2015
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation
F Zeng, C Li, F Liu, I Turner
SIAM Journal on Scientific Computing 35 (6), A2976-A3000, 2013
2552013
A Crank--Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation
F Zeng, F Liu, C Li, K Burrage, I Turner, V Anh
SIAM Journal on Numerical Analysis 52 (6), 2599-2622, 2014
2542014
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy
F Zeng, C Li, F Liu, I Turner
SIAM Journal on Scientific Computing 37 (1), A55-A78, 2015
1722015
Finite difference methods for fractional differential equations
C Li, F Zeng
International Journal of Bifurcation and Chaos 22 (04), 1230014, 2012
1422012
Spectral approximations to the fractional integral and derivative
C Li, F Zeng, F Liu
Fractional Calculus and Applied Analysis 15 (3), 383-406, 2012
1372012
The finite difference methods for fractional ordinary differential equations
C Li, F Zeng
Numerical Functional Analysis and Optimization 34 (2), 149-179, 2013
1242013
A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations
F Zeng, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 37 (6), A2710-A2732, 2015
802015
Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
F Zeng, Z Zhang, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 327, 478-502, 2017
742017
Second-order stable finite difference schemes for the time-fractional diffusion-wave equation
F Zeng
Journal of Scientific Computing 65 (1), 411–430, 2015
532015
A stable fast time-stepping method for fractional integral and derivative operators
F Zeng, I Turner, K Burrage
Journal of Scientific Computing 77 (1), 283--307, 2018
512018
A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities
F Zeng, Z Mao, GE Karniadakis
SIAM Journal on Scientific Computing 39 (1), A360-A383, 2017
512017
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
F Zeng, Z Zhang, GE Karniadakis
Journal of Computational Physics 307, 15-33, 2016
512016
Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions
W Cao, F Zeng, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 38 (5), A3070-A3093, 2016
452016
Optimal error estimates of spectral Petrov--Galerkin and collocation methods for initial value problems of fractional differential equations
Z Zhang, F Zeng, GE Karniadakis
SIAM Journal on Numerical Analysis 53 (4), 2074-2096, 2015
392015
Finite difference method for time-space-fractional Schrödinger equation
Q Liu, F Zeng, C Li
International Journal of Computer Mathematics 92 (7), 1439-1451, 2015
382015
A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation
H Zhang, F Liu, X Jiang, F Zeng, I Turner
Computers & Mathematics with Applications 76 (10), 2460-2476, 2018
302018
Equivalent system for a multiple-rational-order fractional differential system
C Li, F Zhang, J Kurths, F Zeng
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2013
272013
A new Crank–Nicolson finite element method for the time-fractional subdiffusion equation
F Zeng, C Li
Applied Numerical Mathematics 121, 82-95, 2017
252017
A tunable finite difference method for fractional differential equations with non-smooth solutions
X Chen, F Zeng, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 318, 193-214, 2017
252017
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