A second order accurate difference scheme for the heat equation with concentrated capacity. - Zhi-Zhong Sun; You-lan Zhu (Numerische Mathematik, 2004)

The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. - Zhi-Zhong Sun (J. Comput. Phys., 2006)

The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. - Zhi-Zhong Sun; Xiaonan Wu (J. Comput. Phys., 2006)

On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem. - Chao-rong Ye; Zhi-Zhong Sun (Appl. Math. Comput., 2007)

A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data. - Zhi-Zhong Sun (NAA, 2008)

A difference scheme for Burgers equation in an unbounded domain. - Zhi-Zhong Sun; Xiaonan Wu (Appl. Math. Comput., 2009)

On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations. - Zhi-Zhong Sun; Dan-dan Zhao (Comput. Math. Appl., 2010)

Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. - Wan-Rong Cao; Zhi-Zhong Sun (J. Comput. Appl. Math., 2010)

Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations. - Hong-Lin Liao; Zhi-Zhong Sun; Han-Sheng Shi (SIAM J. Numer. Anal., 2010)

A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation. - Yu-lian Zhang; Zhi-Zhong Sun (Int. J. Comput. Math., 2011)

Maximum norm error estimates of efficient difference schemes for second-order wave equations. - Hong-Lin Liao; Zhi-Zhong Sun (J. Comput. Appl. Math., 2011)

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

Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. - Ya-nan Zhang 003; Zhi-Zhong Sun (J. Comput. Phys., 2011)

A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. - Xuan Zhao 004; Zhi-Zhong Sun (J. Comput. Phys., 2011)

Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation. - Ya-nan Zhang 003; Zhi-Zhong Sun; Hong-wei Wu (SIAM J. Numer. Anal., 2011)

A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. - Zhi-Zhong Sun; Xiaonan Wu; Jiwei Zhang 002; Desheng Wang (Appl. Math. Comput., 2012)

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)

Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. - Weiwei Sun 002; Zhi-Zhong Sun (Numerische Mathematik, 2012)

Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation. - Ya-nan Zhang 003; Zhi-Zhong Sun; Xuan Zhao 004 (SIAM J. Numer. Anal., 2012)

A two-level compact ADI method for solving second-order wave equations. - Hong-Lin Liao; Zhi-Zhong Sun (Int. J. Comput. Math., 2013)

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)

Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. - Jincheng Ren; Zhi-Zhong Sun; Xuan Zhao 004 (J. Comput. Phys., 2013)

Numerical Algorithm With High Spatial Accuracy for the Fractional Diffusion-Wave Equation With Neumann Boundary Conditions. - Jincheng Ren; Zhi-Zhong Sun (J. Sci. Comput., 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)

Finite difference methods for the time fractional diffusion equation on non-uniform meshes. - Ya-nan Zhang 003; Zhi-Zhong Sun; Hong-Lin Liao (J. Comput. Phys., 2014)

Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation. - Ya-nan Zhang 003; Zhi-Zhong Sun (J. Sci. Comput., 2014)

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation. - Xuan Zhao 004; Zhi-Zhong Sun; Zhao-peng Hao (SIAM J. Sci. Comput., 2014)

The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. - Cui-Cui Ji; Zhi-Zhong Sun (Appl. Math. Comput., 2015)

Maximum norm error analysis of difference schemes for fractional diffusion equations. - Jincheng Ren; Zhi-Zhong Sun (Appl. Math. Comput., 2015)

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)

On two linearized difference schemes for Burgers' equation. - Hong Sun; Zhi-Zhong Sun (Int. J. Comput. Math., 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)

A fourth-order approximation of fractional derivatives with its applications. - Zhao-peng Hao; Zhi-Zhong Sun; Wan-Rong Cao (J. Comput. Phys., 2015)

Second-order approximations for variable order fractional derivatives: Algorithms and applications. - Xuan Zhao 004; Zhi-Zhong Sun; George E. Karniadakis (J. Comput. Phys., 2015)

A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation. - Cui-Cui Ji; Zhi-Zhong Sun (J. Sci. Comput., 2015)

Compact Crank-Nicolson Schemes for a Class of Fractional Cattaneo Equation in Inhomogeneous Medium. - Xuan Zhao 004; Zhi-Zhong Sun (J. Sci. Comput., 2015)

Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. - Zhonghua Qiao; Zhi-Zhong Sun; Zhengru Zhang (Math. Comput., 2015)

A finite difference scheme for semilinear space-fractional diffusion equations with time delay. - Zhaopeng Hao; Kai Fan; Wanrong Cao; Zhi-Zhong Sun (Appl. Math. Comput., 2016)

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)

Numerical Algorithms with High Spatial Accuracy for the Fourth-Order Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions. - Cui-Cui Ji; Zhi-Zhong Sun; Zhao-peng Hao (J. Sci. Comput., 2016)

A high-order difference scheme for the fractional sub-diffusion equation. - Zhao-peng Hao; Guang Lin 001; Zhi-Zhong Sun (Int. J. Comput. Math., 2017)

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)

A High-Order Difference Scheme for the Space and Time Fractional Bloch-Torrey Equation. - Yun Zhu; Zhi-Zhong Sun (Comput. Methods Appl. Math., 2018)

Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives. - Cui-Cui Ji; Rui Du; Zhi-Zhong Sun (Int. J. Comput. Math., 2018)

Numerical Method for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Equation with the Temperature-Jump Boundary Condition. - Cui-Cui Ji; Weizhong Dai; Zhi-Zhong Sun (J. Sci. Comput., 2018)

A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. - Jinye Shen; Zhi-Zhong Sun; Wanrong Cao (Appl. Math. Comput., 2019)

Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film. - Cui-Cui Ji; Weizhong Dai; Zhi-Zhong Sun (J. Sci. Comput., 2019)

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation. - Hong Sun; Xuan Zhao 004; Zhi-Zhong Sun (J. Sci. Comput., 2019)

A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. - Zhi-Zhong Sun; Cui-Cui Ji; Ruilian Du (Appl. Math. Lett., 2020)

Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. - Ruilian Du; Anatoly A. Alikhanov; Zhi-Zhong Sun (Comput. Math. Appl., 2020)

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. - Jinye Shen; Changpin Li; Zhi-Zhong Sun (J. Sci. Comput., 2020)

The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation. - Xuping Wang; Qifeng Zhang; Zhi-Zhong Sun (Adv. Comput. Math., 2021)

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. - Qifeng Zhang; Jan S. Hesthaven; Zhi-Zhong Sun; Yunzhu Ren (Adv. Comput. Math., 2021)

The study of exact and numerical solutions of the generalized viscous Burgers' equation. - Qifeng Zhang; Yifan Qin; Xuping Wang; Zhi-Zhong Sun (Appl. Math. Lett., 2021)

Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. - Jinye Shen; Martin Stynes; Zhi-Zhong Sun (Comput. Methods Appl. Math., 2021)

Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. - Ruilian Du; Zhi-Zhong Sun (Numer. Algorithms, 2021)

A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. - Hong Sun; Zhi-Zhong Sun (Numer. Algorithms, 2021)

Optimal convergence rate of the explicit Euler method for convection-diffusion equations. - Qifeng Zhang; Jiyuan Zhang; Zhi-Zhong Sun (Appl. Math. Lett., 2022)

Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases. - Qifeng Zhang; Jiyuan Zhang; Zhi-Zhong Sun (CoRR, 2022)

Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity. - Qifeng Zhang; Yifan Qin; Zhi-Zhong Sun (Numer. Algorithms, 2022)

Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations. - Ruilian Du; Zhi-Zhong Sun; Hong Wang (SIAM J. Numer. Anal., 2022)

H1-analysis of H3N3-2σ-based difference method for fractional hyperbolic equations. - Rui-lian Du; Changpin Li; Zhi-Zhong Sun (Comput. Appl. Math., 2024)

H3N3-2σ-based difference schemes for time multi-term fractional diffusion-wave equation. - Ruilian Du; Changpin Li; Fang Su; Zhi-Zhong Sun (Comput. Appl. Math., 2024)