7 citations · 32 across the 23 of their papers we have counts for
4 papers · 1 filter
Analysis of a time-stepping discontinuous Galerkin method for modified anomalous subdiffusion problems
Binjie Li, Hao Luo, Xiaoping Xie
This paper analyzes a time-stepping discontinuous Galerkin method for modified anomalous subdiffusion problems with two time fractional derivatives of orders and ($ 0 < α…
A time-spectral algorithm for fractional wave problems
Binjie Li, Hao Luo, Xiaoping Xie
This paper develops a high-accuracy algorithm for time fractional wave problems, which employs a spectral method in the temporal discretization and a finite element method in the s…
Regularity for time fractional wave problems
Binjie Li, Xiaoping Xie
Using the Galerkin method, we obtain the unique existence of the weak solution to a time fractional wave problem, and establish some regularity estimates which reveal the singulari…
Regularity of solutions to time fractional diffusion equations
Binjie Li, Xiaoping Xie
We derive some regularity estimates of the solution to a time fractional diffusion equation, that are useful for numerical analysis, and partially unravel the singularity structure…