4 papers · 1 filter
Error estimate of the nonuniform BDF3-L2 method for subdiffusion equations via multiscale solution decomposition
Wenlin Qiu, Kexin Li, Yiqun Li +1
Numerical experiments reported by Quan and Wu [SIAM J Numer Anal 61 (2023) 2106-2132] show that the observed temporal convergence rates of nonuniform L2 methods for subdiffusion mo…
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…
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…