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2020 – today
- 2024
[i3]Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du:
A simple and fast finite difference method for the integral fractional Laplacian of variable order. CoRR abs/2406.10524 (2024)- [i2]Zhaopeng Hao, Zhiqiang Cai, Zhongqiang Zhang:
Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian. CoRR abs/2411.10675 (2024) - 2022
- [j18]Shengyue Li, Wanrong Cao, Zhaopeng Hao:
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution. Int. J. Comput. Math. 99(2): 274-291 (2022) - [j17]Yanyan Wang, Zhaopeng Hao, Rui Du:
A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian. J. Sci. Comput. 90(1): 24 (2022) - [j16]Wanrong Cao, Zhaopeng Hao, Zhongqiang Zhang
:
Optimal Strong Convergence of Finite Element Methods for One-Dimensional Stochastic Elliptic Equations with Fractional Noise. J. Sci. Comput. 91(1): 1 (2022) - 2021
- [j15]Rui Du, Yanyan Wang, Zhaopeng Hao:
High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: Discretization and simulations. Commun. Nonlinear Sci. Numer. Simul. 102: 105920 (2021) - [j14]Zhaopeng Hao, Zhongqiang Zhang, Rui Du:
Fractional centered difference scheme for high-dimensional integral fractional Laplacian. J. Comput. Phys. 424: 109851 (2021) - [j13]Zhaopeng Hao, Zhongqiang Zhang:
Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise. SIAM/ASA J. Uncertain. Quantification 9(3): 1013-1033 (2021) - [j12]Zhaopeng Hao, Huiyuan Li, Zhimin Zhang, Zhongqiang Zhang:
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. Math. Comput. 90(331): 2107-2135 (2021) - [j11]Zhaopeng Hao, Wanrong Cao, Shengyue Li:
Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity. Numer. Algorithms 86(3): 1071-1087 (2021) - [i1]Shengyue Li, Wanrong Cao, Zhaopeng Hao:
On spectral Petrov-Galerkin method for solving fractional initial value problems in weighted Sobolev space. CoRR abs/2109.01859 (2021) - 2020
- [j10]Zhaopeng Hao, Guang Lin, Zhongqiang Zhang:
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Appl. Math. Comput. 374: 125045 (2020) - [j9]Zhaopeng Hao, Zhongqiang Zhang:
Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 58(1): 211-233 (2020)
2010 – 2019
- 2019
- [j8]Zhaopeng Hao, Moongyu Park, Guang Lin, Zhiqiang Cai:
Finite Element Method for Two-Sided Fractional Differential Equations with Variable Coefficients: Galerkin Approach. J. Sci. Comput. 79(2): 700-717 (2019) - 2017
- [j7]Zhao-peng Hao, Guang Lin, Zhi-Zhong Sun:
A high-order difference scheme for the fractional sub-diffusion equation. Int. J. Comput. Math. 94(2): 405-426 (2017) - [j6]Zhaopeng Hao, Wanrong Cao, Guang Lin:
A second-order difference scheme for the time fractional substantial diffusion equation. J. Comput. Appl. Math. 313: 54-69 (2017) - [j5]Zhaopeng Hao, Wanrong Cao:
An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution. J. Sci. Comput. 73(1): 395-415 (2017) - 2016
- [j4]Zhaopeng Hao, Kai Fan, Wanrong Cao, Zhi-Zhong Sun:
A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Appl. Math. Comput. 275: 238-254 (2016) - [j3]Cui-Cui Ji, Zhi-Zhong Sun, Zhao-peng Hao:
Numerical Algorithms with High Spatial Accuracy for the Fourth-Order Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions. J. Sci. Comput. 66(3): 1148-1174 (2016) - 2015
- [j2]Zhao-peng Hao, Zhi-Zhong Sun, Wan-Rong Cao:
A fourth-order approximation of fractional derivatives with its applications. J. Comput. Phys. 281: 787-805 (2015) - 2014
- [j1]Xuan Zhao, Zhi-Zhong Sun, Zhao-peng Hao:
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation. SIAM J. Sci. Comput. 36(6) (2014)
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