Zhi-Zhong Sun

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 23

Top Topics

Numerical Scheme

Finite Difference

Top Venues

J. Sci. Comput.

J. Comput. Phys.

Appl. Math. Comput.

Int. J. Comput. Math.

Publications

Rui-lian Du, Changpin Li, Zhi-Zhong Sun
-based difference method for fractional hyperbolic equations. Comput. Appl. Math. 43 (1) (2024)
Rui-lian Du, Changpin Li, Zhi-Zhong Sun
-based difference method for fractional hyperbolic equations. CoRR (2023)
Ruilian Du, Zhi-Zhong Sun, Hong Wang
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations. SIAM J. Numer. Anal. 60 (1) (2022)
Jinye Shen, Martin Stynes, Zhi-Zhong Sun
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. Comput. Methods Appl. Math. 21 (4) (2021)
Ruilian Du, Zhi-Zhong Sun
Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. Numer. Algorithms 88 (1) (2021)
Hong Sun, Zhi-Zhong Sun
A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. Numer. Algorithms 86 (2) (2021)
Jinye Shen, Changpin Li, Zhi-Zhong Sun
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. 83 (2) (2020)
Zhi-Zhong Sun, Cui-Cui Ji, Ruilian Du
A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. Appl. Math. Lett. 102 (2020)
Ruilian Du, Anatoly A. Alikhanov, Zhi-Zhong Sun
Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. Comput. Math. Appl. 79 (10) (2020)
Hong Sun, Xuan Zhao, Zhi-Zhong Sun
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation. J. Sci. Comput. 78 (1) (2019)
Jinye Shen, Zhi-Zhong Sun, Wanrong Cao
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. Appl. Math. Comput. 361 (2019)
Cui-Cui Ji, Weizhong Dai, Zhi-Zhong Sun
Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film. J. Sci. Comput. 81 (3) (2019)
Cui-Cui Ji, Rui Du, Zhi-Zhong Sun
Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives. Int. J. Comput. Math. 95 (1) (2018)
Yun Zhu, Zhi-Zhong Sun
A High-Order Difference Scheme for the Space and Time Fractional Bloch-Torrey Equation. Comput. Methods Appl. Math. 18 (1) (2018)
Cui-Cui Ji, Weizhong Dai, Zhi-Zhong Sun
Numerical Method for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Equation with the Temperature-Jump Boundary Condition. J. Sci. Comput. 75 (3) (2018)
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) (2017)
Guang-hua Gao, Zhi-Zhong Sun
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Numer. Algorithms 74 (3) (2017)
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) (2017)
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 (2016)
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 (2016)
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) (2016)
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) (2016)
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) (2016)
Xuan Zhao, Zhi-Zhong Sun, George E. Karniadakis
Second-order approximations for variable order fractional derivatives: Algorithms and applications. J. Comput. Phys. 293 (2015)
Zhao-peng Hao, Zhi-Zhong Sun, Wan-Rong Cao
A fourth-order approximation of fractional derivatives with its applications. J. Comput. Phys. 281 (2015)
Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun
Some high-order difference schemes for the distributed-order differential equations. J. Comput. Phys. 298 (2015)
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) (2015)
Hong Sun, Zhi-Zhong Sun
On two linearized difference schemes for Burgers' equation. Int. J. Comput. Math. 92 (6) (2015)
Jincheng Ren, Zhi-Zhong Sun
Maximum norm error analysis of difference schemes for fractional diffusion equations. Appl. Math. Comput. 256 (2015)
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 (2015)
Cui-Cui Ji, Zhi-Zhong Sun
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Appl. Math. Comput. 269 (2015)
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) (2015)
Cui-Cui Ji, Zhi-Zhong Sun
A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation. J. Sci. Comput. 64 (3) (2015)
Xuan Zhao, Zhi-Zhong Sun
Compact Crank-Nicolson Schemes for a Class of Fractional Cattaneo Equation in Inhomogeneous Medium. J. Sci. Comput. 62 (3) (2015)
Zhonghua Qiao, Zhi-Zhong Sun, Zhengru Zhang
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Math. Comput. 84 (292) (2015)
Ya-nan Zhang, Zhi-Zhong Sun
Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation. J. Sci. Comput. 59 (1) (2014)
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)
Ya-nan Zhang, Zhi-Zhong Sun, Hong-Lin Liao
Finite difference methods for the time fractional diffusion equation on non-uniform meshes. J. Comput. Phys. 265 (2014)
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 (2014)
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 (2013)
Jincheng Ren, Zhi-Zhong Sun, Xuan Zhao
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. J. Comput. Phys. 232 (1) (2013)
Hong-Lin Liao, Zhi-Zhong Sun
A two-level compact ADI method for solving second-order wave equations. Int. J. Comput. Math. 90 (7) (2013)
Jincheng Ren, Zhi-Zhong Sun
Numerical Algorithm With High Spatial Accuracy for the Fractional Diffusion-Wave Equation With Neumann Boundary Conditions. J. Sci. Comput. 56 (2) (2013)
Weiwei Sun, Zhi-Zhong Sun
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Numerische Mathematik 120 (1) (2012)
Zhi-Zhong Sun, Xiaonan Wu, Jiwei Zhang, Desheng Wang
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Appl. Math. Comput. 218 (9) (2012)
Ya-nan Zhang, Zhi-Zhong Sun, Xuan Zhao
Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation. SIAM J. Numer. Anal. 50 (3) (2012)
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) (2012)
Guang-hua Gao, Zhi-Zhong Sun
A compact finite difference scheme for the fractional sub-diffusion equations. J. Comput. Phys. 230 (3) (2011)
Ya-nan Zhang, Zhi-Zhong Sun
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. J. Comput. Phys. 230 (24) (2011)
Xuan Zhao, Zhi-Zhong Sun
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. J. Comput. Phys. 230 (15) (2011)
Yu-lian Zhang, Zhi-Zhong Sun
A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation. Int. J. Comput. Math. 88 (16) (2011)
Ya-nan Zhang, Zhi-Zhong Sun, Hong-wei Wu
Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation. SIAM J. Numer. Anal. 49 (6) (2011)
Hong-Lin Liao, Zhi-Zhong Sun
Maximum norm error estimates of efficient difference schemes for second-order wave equations. J. Comput. Appl. Math. 235 (8) (2011)
Wan-Rong Cao, Zhi-Zhong Sun
Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. J. Comput. Appl. Math. 234 (8) (2010)
Zhi-Zhong Sun, Dan-dan Zhao
convergence of a difference scheme for coupled nonlinear Schrödinger equations. Comput. Math. Appl. 59 (10) (2010)
Hong-Lin Liao, Zhi-Zhong Sun, Han-Sheng Shi
Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations. SIAM J. Numer. Anal. 47 (6) (2010)
Zhi-Zhong Sun, Xiaonan Wu
A difference scheme for Burgers equation in an unbounded domain. Appl. Math. Comput. 209 (2) (2009)
Zhi-Zhong Sun
A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data. NAA (2008)
Chao-rong Ye, Zhi-Zhong Sun
On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem. Appl. Math. Comput. 188 (1) (2007)
Zhi-Zhong Sun, Xiaonan Wu
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. J. Comput. Phys. 214 (1) (2006)
Zhi-Zhong Sun
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. 219 (2) (2006)
Zhi-Zhong Sun, You-lan Zhu
A second order accurate difference scheme for the heat equation with concentrated capacity. Numerische Mathematik 97 (2) (2004)