34 citations · 66 across the 5 of their papers we have counts for
5 papers
Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations
Wenjie Liu, Ruiyi Xie, Li-Lian Wang +1
The local discontinuous Galerkin (LDG) method proposed by Castillo et al. [Math. Comp.,~71 (238): 455-478, 2002] has been shown to be an efficient approach for solving convect…
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
Wenjie Liu, Li-Lian Wang, Boying Wu
We present a new fractional Taylor formula for singular functions whose Caputo fractional derivatives are of bounded variation. It bridges and ``interpolates" the usual Taylor form…
A Generalized-Jacobi-Function Spectral Method for Space-Time Fractional Reaction-Diffusion Equations with Viscosity Terms
Zhe Yu, Boying Wu, Jiebao Sun +1
In this work, we study a new spectral Petrov-Galerkin approximation of space-time fractional reaction-diffusion equations with viscosity terms built by Riemann-Liouville fractional…
Uniform bounds and asymptotics of Generalized Gegenbauer functions of fractional degree
Wenjie Liu, Li-Lian Wang
The generalised Gegenbauer functions of fractional degree (GGF-Fs), denoted by (right GGF-Fs) and (left GGF-Fs) with $λ>-…
Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces
Wenjie Liu, Li-Lian Wang, Huiyuan Li
In this paper, we introduce a new theoretical framework built upon fractional Sobolev-type spaces involving Riemann-Liouville (RL) fractional integrals/derivatives, which is natura…