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  1. No Access

    Article

    Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation

    This paper focuses on develo** a numerical method with high-order accuracy for solving the time-dependent diffusion equation. We discrete time first, which results in a modified Helmholtz equation at each ti...

    Zhi Wang, Yongbin Ge, Hai-Wei Sun, Tao Sun in Japan Journal of Industrial and Applied Ma… (2024)

  2. No Access

    Article

    Asymptotical stability of the exact solutions and the numerical solutions for impulsive neutral differential equations

    In this paper, we not only study asymptotical stability of a class of linear impulsive neutral delay differential equations(INDDEs), but also study stability and asymptotical stability of nonlinear INDDEs. Asy...

    Gui-Lai Zhang, Yang Sun, Zhi-Wei Wang in Computational and Applied Mathematics (2023)

  3. No Access

    Article

    An efficient red–black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation

    We present a red–black skewed extrapolation cascadic multigrid (SkECMG) method to solve the Poisson equation in two dimensions based on the modified standard and skewed five-point finite difference discretizat...

    Yuan Xu, Siu-Long Lei, Hai-Wei Sun in Computational and Applied Mathematics (2023)

  4. No Access

    Article

    Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation

    In this paper, a fast and memory-saving numerical scheme is presented for solving hidden-memory variable-order time-fractional diffusion equations based on the L1 method. Due to the nonlocality of fractional o...

    Lu-Yao Sun, Siu-Long Lei, Hai-Wei Sun in Computational and Applied Mathematics (2023)

  5. No Access

    Article

    Generalized inverse eigenvalue problems for augmented periodic Jacobi Matrices

    In this paper, we propose a new method to solve the generalized inverse eigenvalue problem for periodic Jacobi matrices. Besides, we introduce a new inverse eigenvalue problem for augmented periodic Jacobi mat...

    Zhen-Wei Sun in Computational and Applied Mathematics (2019)

  6. No Access

    Article

    A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains

    A fast finite difference method is developed for solving space-fractional diffusion equations with variable coefficient in convex domains using a volume penalization approach. The resulting coefficient matrix ...

    Ning Du, Hai-Wei Sun, Hong Wang in Computational and Applied Mathematics (2019)