5 papers
The optimal error analysis of nonuniform L1 method for the variable-exponent subdiffusion model
Wenlin Qiu, Kexin Li, Yiqun Li +1
This work investigates the optimal error estimate of the fully discrete scheme for the variable-exponent subdiffusion model under the nonuniform temporal mesh. We apply the perturb…
Variable-order fractional wave equation: Analysis, numerical approximation, and fast algorithm
Jinhong Jia, Chuanting Jiang, Yiqun Li +2
We investigate a local modification of a variable-order fractional wave equation, which describes the propagation of diffusive wave in viscoelastic media with evolving physical pro…
An Efficient Space-Time Two-Grid Compact Difference Scheme for the Two-Dimensional Viscous Burgers' Equation
Xiangyi Peng, Lisen Ding, Wenlin Qiu
This work proposes an efficient space-time two-grid compact difference (ST-TGCD) scheme for solving the two-dimensional (2D) viscous Burgers' equation subject to initial and period…
Spatial two-grid compact difference scheme for two-dimensional nonlinear diffusion-wave equations with variable exponent
Hao Zhang, Kexin Li, Wenlin Qiu
This paper presents a spatial two-grid (STG) compact difference scheme for a two-dimensional (2D) nonlinear diffusion-wave equation with variable exponent, which describes, e.g., t…
Two ADI compact difference methods for variable-exponent diffusion wave equations
Hao Zhang, Kexin Li, Wenlin Qiu
In this work, we study two-dimensional diffusion-wave equations with variable exponent, modeling mechanical diffusive wave propagation in viscoelastic media with spatially varying…