3 papers
math.NA2026
Second-order -norm error analysis for time-fractional advection-dispersion equations based on the fast averaged L1 method
Liangcai Huang, Lin Li, Pengcheng Xie
In this paper, based on the fast averaged L1 method, we present an error analysis for time-fractional advection-dispersion equations with a weak singularity at the initial time. An…
math.NA2026
A numerical study for tempered time-fractional advection-dispersion equation on graded meshes
Liangcai Huang, Lin Li, Shujuan Lü
In this paper, we develop a second-order accurate time-stepping scheme for the tempered time-fractional advection-dispersion equation based on a sum-of-exponentials (SOE) approxima…
math.NA2025
A New Fast Finite Difference Scheme for Tempered Time Fractional Advection-Dispersion Equation with a Weak Singularity at Initial Time
Liangcai Huang, Shujuan Lü
In this paper, we propose a new second-order fast finite difference scheme in time for solving the Tempered Time Fractional Advection-Dispersion Equation. Under the assumption that…