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  1. No Access

    Article

    A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation

    In this paper a family of fourth-order and sixth-order compact difference schemes for the three dimensional (3D) linear Poisson equation are derived in detail. By using finite volume (FV) method for derivation...

    Shuying Zhai, **nlong Feng, Yinnian He in Journal of Scientific Computing (2013)

  2. No Access

    Article

    Investigations on several high-order ADI methods for time-space fractional diffusion equation

    The paper is devoted to the construction of high-precision unconditionally stable finite difference methods for solving time-space fractional diffusion equation with the Caputo fractional derivative (of order β, ...

    Shuying Zhai, Zhifeng Weng, **nlong Feng, **yun Yuan in Numerical Algorithms (2019)

  3. No Access

    Article

    Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation

    In this paper, we study a fast explicit operator splitting method for space fractional nonlinear Schrödinger equation in one (1D), two (2D) and three dimensions (3D) with periodic boundary conditions. The equa...

    Shuying Zhai, Dongling Wang, Zhifeng Weng, Xuan Zhao in Journal of Scientific Computing (2019)

  4. No Access

    Article

    Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method

    In this paper, we consider a fast explicit operator splitting method for a fractional Cahn-Hilliard equation with spatial derivative ...

    Shuying Zhai, Longyuan Wu, **gying Wang, Zhifeng Weng in Numerical Algorithms (2020)

  5. No Access

    Article

    Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation

    In this paper, we propose a second-order fast explicit operator splitting method for the phase field crystal equation. The basic idea lied in our method is to split the original problem into linear and nonline...

    Shuying Zhai, Zhifeng Weng, **nlong Feng, Yinnian He in Journal of Scientific Computing (2021)

  6. No Access

    Article

    A compact quadratic spline collocation method for the time-fractional Black–Scholes model

    A compact quadratic spline collocation (QSC) method for the time-fractional Black–Scholes model governing European option pricing is presented. Firstly, after eliminating the convection term by an exponential ...

    Zhaowei Tian, Shuying Zhai, Haifeng Ji… in Journal of Applied Mathematics and Computi… (2021)

  7. No Access

    Article

    Error Estimate of a Fully Discrete Local Discontinuous Galerkin Method for Variable-Order Time-Fractional Diffusion Equations

    The aim of this paper is to develop a fully discrete local discontinuous Galerkin method to solve a class of variable-order fractional diffusion problems. The scheme is discretized by a weighted-shifted Grünwa...

    Leilei Wei, Shuying Zhai, **ndong Zhang in Communications on Applied Mathematics and … (2021)

  8. No Access

    Article

    Studying environmental and economic considerations on tourism activities in achieving sustainable development goals: implications for sustainability

    The study aims to extend the understanding of environmental and economic considerations on tourism activities in achieving sustainable development goals. The motivation of the study is to provide the empirical...

    Shuying Zhai, Ru Li, Yuange Yang in Environmental Science and Pollution Research (2023)