Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations. - Guang-hua Gao; Tongke Wang (J. Comput. Appl. Math., 2010)

A compact finite difference scheme for the fractional sub-diffusion equations. - Guang-hua Gao; Zhi-Zhong Sun (J. Comput. Phys., 2011)

A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. - Guang-hua Gao; Zhi-Zhong Sun; Ya-nan Zhang 003 (J. Comput. Phys., 2012)

The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. - Guang-hua Gao; Zhi-Zhong Sun (J. Comput. Phys., 2013)

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. - Guang-hua Gao; Zhi-Zhong Sun; Hongwei Zhang (J. Comput. Phys., 2014)

Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. - Guang-hua Gao; Zhi-Zhong Sun (Comput. Math. Appl., 2015)

A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model. - Rui Du; Zhi-Zhong Sun; Guang-hua Gao (Int. J. Comput. Math., 2015)

The asymptotic expansion and extrapolation of trapezoidal rule for integrals with fractional order singularities. - Tongke Wang; Na Li; Guang-hua Gao (Int. J. Comput. Math., 2015)

Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. - Guang-hua Gao; Hai-Wei Sun (J. Comput. Phys., 2015)

Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. - Guang-hua Gao; Hai-Wei Sun; Zhi-Zhong Sun (J. Comput. Phys., 2015)

Some high-order difference schemes for the distributed-order differential equations. - Guang-hua Gao; Hai-Wei Sun; Zhi-Zhong Sun (J. Comput. Phys., 2015)

Efficient and stable numerical methods for the two-dimensional fractional Cattaneo equation. - Jincheng Ren; Guang-hua Gao (Numer. Algorithms, 2015)

Some high order difference schemes for the space and time fractional Bloch-Torrey equations. - Hong Sun; Zhi-Zhong Sun; Guang-hua Gao (Appl. Math. Comput., 2016)

Two Alternating Direction Implicit Difference Schemes for Two-Dimensional Distributed-Order Fractional Diffusion Equations. - Guang-hua Gao; Zhi-Zhong Sun (J. Sci. Comput., 2016)

Two Alternating Direction Implicit Difference Schemes for Solving the Two-Dimensional Time Distributed-Order Wave Equations. - Guang-hua Gao; Zhi-Zhong Sun (J. Sci. Comput., 2016)

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations. - Guang-hua Gao; Anatoly A. Alikhanov; Zhi-Zhong Sun (J. Sci. Comput., 2017)

Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. - Guang-hua Gao; Zhi-Zhong Sun (Numer. Algorithms, 2017)

The asymptotic solutions of two-term linear fractional differential equations via Laplace transform. - Yuyu Li; Tongke Wang; Guang-hua Gao (Math. Comput. Simul., 2023)

Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation. - Yuxuan Wang; Tongke Wang; Guang-hua Gao (Int. J. Comput. Math., 2023)

The energy method for high-order invariants in shallow water wave equations. - Qifeng Zhang; Tong Yan; Guang-hua Gao (Appl. Math. Lett., 2023)

Singularity-removing Chebyshev collocation methods for nonlinear fractional differential equations with blow-up. - Chengwang Jia; Hongwei Zhang; Guang-hua Gao; Tongke Wang (Math. Comput. Simul., 2026)