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2020 – today
- 2023
[j20]Qifeng Zhang
, Tong Yan, Guang-hua Gao:
The energy method for high-order invariants in shallow water wave equations. Appl. Math. Lett. 142: 108626 (2023)- [j19]Yuxuan Wang, Tongke Wang, Guang-hua Gao:
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation. Int. J. Comput. Math. 100(2): 233-252 (2023) - [j18]Yuyu Li, Tongke Wang, Guang-hua Gao:
The asymptotic solutions of two-term linear fractional differential equations via Laplace transform. Math. Comput. Simul. 211: 394-412 (2023) - [i1]Qifeng Zhang, Tong Yan, Guang-hua Gao:
The energy method for high-order invariants in shallow water wave equations. CoRR abs/2301.00990 (2023)
2010 – 2019
- 2017
- [j17]Guang-hua Gao, Anatoly A. Alikhanov, Zhi-Zhong Sun:
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations. J. Sci. Comput. 73(1): 93-121 (2017) - [j16]Guang-hua Gao, Zhi-Zhong Sun:
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Numer. Algorithms 74(3): 675-697 (2017) - 2016
- [j15]Hong Sun, Zhi-Zhong Sun, Guang-hua Gao:
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Appl. Math. Comput. 281: 356-380 (2016) - [j14]Guang-hua Gao, Zhi-Zhong Sun:
Two Alternating Direction Implicit Difference Schemes for Two-Dimensional Distributed-Order Fractional Diffusion Equations. J. Sci. Comput. 66(3): 1281-1312 (2016) - [j13]Guang-hua Gao, Zhi-Zhong Sun:
Two Alternating Direction Implicit Difference Schemes for Solving the Two-Dimensional Time Distributed-Order Wave Equations. J. Sci. Comput. 69(2): 506-531 (2016) - 2015
- [j12]Guang-hua Gao, Zhi-Zhong Sun:
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Comput. Math. Appl. 69(9): 926-948 (2015) - [j11]Tongke Wang, Na Li, Guang-hua Gao:
The asymptotic expansion and extrapolation of trapezoidal rule for integrals with fractional order singularities. Int. J. Comput. Math. 92(3): 579-590 (2015) - [j10]Rui Du, Zhi-Zhong Sun, Guang-hua Gao:
A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model. Int. J. Comput. Math. 92(11): 2290-2309 (2015) - [j9]Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun:
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. J. Comput. Phys. 280: 510-528 (2015) - [j8]Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun:
Some high-order difference schemes for the distributed-order differential equations. J. Comput. Phys. 298: 337-359 (2015) - [j7]Guang-hua Gao, Hai-Wei Sun:
Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. J. Comput. Phys. 298: 520-538 (2015) - [j6]Jincheng Ren, Guang-hua Gao:
Efficient and stable numerical methods for the two-dimensional fractional Cattaneo equation. Numer. Algorithms 69(4): 795-818 (2015) - 2014
- [j5]Guang-hua Gao, Zhi-Zhong Sun, Hongwei Zhang:
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. J. Comput. Phys. 259: 33-50 (2014) - 2013
- [j4]Guang-hua Gao, Zhi-Zhong Sun:
The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. J. Comput. Phys. 236: 443-460 (2013) - 2012
- [j3]Guang-hua Gao, Zhi-Zhong Sun, Ya-nan Zhang:
A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. J. Comput. Phys. 231(7): 2865-2879 (2012) - 2011
- [j2]Guang-hua Gao, Zhi-Zhong Sun:
A compact finite difference scheme for the fractional sub-diffusion equations. J. Comput. Phys. 230(3): 586-595 (2011) - 2010
- [j1]Guang-hua Gao, Tongke Wang:
Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations. J. Comput. Appl. Math. 233(9): 2285-2301 (2010)
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