Zhi-Zhong Sun

69 papers Journal 68Unranked 1
YearRankTypeTitle / Venue / Authors
2024 J jnl
H
Comput. Appl. Math.
Rui-lian Du, Changpin Li, Zhi-Zhong Sun
2024 J jnl
H3N3-2
Comput. Appl. Math.
Ruilian Du, Changpin Li, Fang Su, Zhi-Zhong Sun
2023 J jnl
H
CoRR
Rui-lian Du, Changpin Li, Zhi-Zhong Sun
2022 J jnl
Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity.
Numer. Algorithms
Qifeng Zhang, Yifan Qin, Zhi-Zhong Sun
2022 J jnl
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases.
CoRR
Qifeng Zhang, Jiyuan Zhang, Zhi-Zhong Sun
2022 J jnl
Optimal convergence rate of the explicit Euler method for convection-diffusion equations.
Appl. Math. Lett.
Qifeng Zhang, Jiyuan Zhang, Zhi-Zhong Sun
2022 J jnl
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations.
SIAM J. Numer. Anal.
Ruilian Du, Zhi-Zhong Sun, Hong Wang
2021 J jnl
A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation.
Numer. Algorithms
Hong Sun, Zhi-Zhong Sun
2021 J jnl
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation.
Adv. Comput. Math.
Qifeng Zhang, Jan S. Hesthaven, Zhi-Zhong Sun, Yunzhu Ren
2021 J jnl
Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations.
Numer. Algorithms
Ruilian Du, Zhi-Zhong Sun
2021 J jnl
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation.
Adv. Comput. Math.
Xuping Wang, Qifeng Zhang, Zhi-Zhong Sun
2021 J jnl
The study of exact and numerical solutions of the generalized viscous Burgers' equation.
Appl. Math. Lett.
Qifeng Zhang, Yifan Qin, Xuping Wang, Zhi-Zhong Sun
2021 J jnl
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions.
Comput. Methods Appl. Math.
Jinye Shen, Martin Stynes, Zhi-Zhong Sun
2020 J jnl
A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations.
Appl. Math. Lett.
Zhi-Zhong Sun, Cui-Cui Ji, Ruilian Du
2020 J jnl
An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension.
J. Sci. Comput.
Jinye Shen, Changpin Li, Zhi-Zhong Sun
2020 J jnl
Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations.
Comput. Math. Appl.
Ruilian Du, Anatoly A. Alikhanov, Zhi-Zhong Sun
2019 J jnl
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation.
Appl. Math. Comput.
Jinye Shen, Zhi-Zhong Sun, Wanrong Cao
2019 J jnl
Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film.
J. Sci. Comput.
Cui-Cui Ji, Weizhong Dai, Zhi-Zhong Sun
2019 J jnl
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation.
J. Sci. Comput.
Hong Sun, Xuan Zhao, Zhi-Zhong Sun
2018 J jnl
A High-Order Difference Scheme for the Space and Time Fractional Bloch-Torrey Equation.
Comput. Methods Appl. Math.
Yun Zhu, Zhi-Zhong Sun
2018 J jnl
Numerical Method for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Equation with the Temperature-Jump Boundary Condition.
J. Sci. Comput.
Cui-Cui Ji, Weizhong Dai, Zhi-Zhong Sun
2018 J jnl
Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives.
Int. J. Comput. Math.
Cui-Cui Ji, Rui Du, Zhi-Zhong Sun
2017 J jnl
A high-order difference scheme for the fractional sub-diffusion equation.
Int. J. Comput. Math.
Zhao-peng Hao, Guang Lin, Zhi-Zhong Sun
2017 J jnl
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.
Guang-hua Gao, Anatoly A. Alikhanov, Zhi-Zhong Sun
2017 J jnl
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations.
Numer. Algorithms
Guang-hua Gao, Zhi-Zhong Sun
2016 J jnl
A finite difference scheme for semilinear space-fractional diffusion equations with time delay.
Appl. Math. Comput.
Zhaopeng Hao, Kai Fan, Wanrong Cao, Zhi-Zhong Sun
2016 J jnl
Numerical Algorithms with High Spatial Accuracy for the Fourth-Order Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions.
J. Sci. Comput.
Cui-Cui Ji, Zhi-Zhong Sun, Zhao-peng Hao
2016 J jnl
Some high order difference schemes for the space and time fractional Bloch-Torrey equations.
Appl. Math. Comput.
Hong Sun, Zhi-Zhong Sun, Guang-hua Gao
2016 J jnl
Two Alternating Direction Implicit Difference Schemes for Solving the Two-Dimensional Time Distributed-Order Wave Equations.
J. Sci. Comput.
Guang-hua Gao, Zhi-Zhong Sun
2016 J jnl
Two Alternating Direction Implicit Difference Schemes for Two-Dimensional Distributed-Order Fractional Diffusion Equations.
J. Sci. Comput.
Guang-hua Gao, Zhi-Zhong Sun
2015 J jnl
A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation.
J. Sci. Comput.
Cui-Cui Ji, Zhi-Zhong Sun
2015 J jnl
A fourth-order approximation of fractional derivatives with its applications.
J. Comput. Phys.
Zhao-peng Hao, Zhi-Zhong Sun, Wan-Rong Cao
2015 J jnl
A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model.
Int. J. Comput. Math.
Rui Du, Zhi-Zhong Sun, Guang-hua Gao
2015 J jnl
Compact Crank-Nicolson Schemes for a Class of Fractional Cattaneo Equation in Inhomogeneous Medium.
J. Sci. Comput.
Xuan Zhao, Zhi-Zhong Sun
2015 J jnl
Maximum norm error analysis of difference schemes for fractional diffusion equations.
Appl. Math. Comput.
Jincheng Ren, Zhi-Zhong Sun
2015 J jnl
On two linearized difference schemes for Burgers' equation.
Int. J. Comput. Math.
Hong Sun, Zhi-Zhong Sun
2015 J jnl
Second-order approximations for variable order fractional derivatives: Algorithms and applications.
J. Comput. Phys.
Xuan Zhao, Zhi-Zhong Sun, George E. Karniadakis
2015 J jnl
Some high-order difference schemes for the distributed-order differential equations.
J. Comput. Phys.
Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun
2015 J jnl
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence.
J. Comput. Phys.
Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun
2015 J jnl
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection.
Math. Comput.
Zhonghua Qiao, Zhi-Zhong Sun, Zhengru Zhang
2015 J jnl
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation.
Appl. Math. Comput.
Cui-Cui Ji, Zhi-Zhong Sun
2015 J jnl
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations.
Comput. Math. Appl.
Guang-hua Gao, Zhi-Zhong Sun
2014 J jnl
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation.
SIAM J. Sci. Comput.
Xuan Zhao, Zhi-Zhong Sun, Zhao-peng Hao
2014 J jnl
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications.
J. Comput. Phys.
Guang-hua Gao, Zhi-Zhong Sun, Hongwei Zhang
2014 J jnl
Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation.
J. Sci. Comput.
Ya-nan Zhang, Zhi-Zhong Sun
2014 J jnl
Finite difference methods for the time fractional diffusion equation on non-uniform meshes.
J. Comput. Phys.
Ya-nan Zhang, Zhi-Zhong Sun, Hong-lin Liao
2013 J jnl
A two-level compact ADI method for solving second-order wave equations.
Int. J. Comput. Math.
Hong-lin Liao, Zhi-Zhong Sun
2013 J jnl
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions.
J. Comput. Phys.
Jincheng Ren, Zhi-Zhong Sun, Xuan Zhao
2013 J jnl
Numerical Algorithm With High Spatial Accuracy for the Fractional Diffusion-Wave Equation With Neumann Boundary Conditions.
J. Sci. Comput.
Jincheng Ren, Zhi-Zhong Sun
2013 J jnl
The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain.
J. Comput. Phys.
Guang-hua Gao, Zhi-Zhong Sun
2012 J jnl
A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions.
J. Comput. Phys.
Guang-hua Gao, Zhi-Zhong Sun, Ya-nan Zhang
2012 J jnl
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions.
Appl. Math. Comput.
Zhi-Zhong Sun, Xiaonan Wu, Jiwei Zhang, Desheng Wang
2012 J jnl
Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation.
SIAM J. Numer. Anal.
Ya-nan Zhang, Zhi-Zhong Sun, Xuan Zhao
2012 J jnl
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials.
Numerische Mathematik
Weiwei Sun, Zhi-Zhong Sun
2011 J jnl
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions.
J. Comput. Phys.
Xuan Zhao, Zhi-Zhong Sun
2011 J jnl
A compact finite difference scheme for the fractional sub-diffusion equations.
J. Comput. Phys.
Guang-hua Gao, Zhi-Zhong Sun
2011 J jnl
A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation.
Int. J. Comput. Math.
Yu-lian Zhang, Zhi-Zhong Sun
2011 J jnl
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation.
J. Comput. Phys.
Ya-nan Zhang, Zhi-Zhong Sun
2011 J jnl
Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation.
SIAM J. Numer. Anal.
Ya-nan Zhang, Zhi-Zhong Sun, Hong-Wei Wu
2011 J jnl
Maximum norm error estimates of efficient difference schemes for second-order wave equations.
J. Comput. Appl. Math.
Hong-lin Liao, Zhi-Zhong Sun
2010 J jnl
Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations.
SIAM J. Numer. Anal.
Hong-lin Liao, Zhi-Zhong Sun, Han-Sheng Shi
2010 J jnl
Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem.
J. Comput. Appl. Math.
Wan-Rong Cao, Zhi-Zhong Sun
2010 J jnl
On the L
Comput. Math. Appl.
Zhi-Zhong Sun, Dan-dan Zhao
2009 J jnl
A difference scheme for Burgers equation in an unbounded domain.
Appl. Math. Comput.
Zhi-Zhong Sun, Xiaonan Wu
2008 — conf
A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data.
NAA
Zhi-Zhong Sun
2007 J jnl
On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem.
Appl. Math. Comput.
Chao-rong Ye, Zhi-Zhong Sun
2006 J jnl
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions.
J. Comput. Phys.
Zhi-Zhong Sun, Xiaonan Wu
2006 J jnl
The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions.
J. Comput. Phys.
Zhi-Zhong Sun
2004 J jnl
A second order accurate difference scheme for the heat equation with concentrated capacity.
Numerische Mathematik
Zhi-Zhong Sun, You-lan Zhu