A New Fast Finite Difference Scheme for Tempered Time Fractional Advection-Dispersion Equation with a Weak Singularity at Initial Time
Numerical Analysis
2025-12-22 v3 Numerical Analysis
Analysis of PDEs
Abstract
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 the solution is nonsmooth at the initial time, we investigate the uniqueness, stability, and convergence of the scheme. Furthermore, we prove that the scheme achieves second-order convergence in both time and space. Finally, corresponding numerical examples are provided.
Keywords
Cite
@article{arxiv.2512.15141,
title = {A New Fast Finite Difference Scheme for Tempered Time Fractional Advection-Dispersion Equation with a Weak Singularity at Initial Time},
author = {Liangcai Huang and Shujuan Lü},
journal= {arXiv preprint arXiv:2512.15141},
year = {2025}
}