@Article{EAJAM-10-774,
author = {Qiao , Haili and Cheng , Aijie},
title = {Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {4},
pages = {774--785},
abstract = {<p style="text-align: justify;">A multi-time fractional-order reaction-diffusion equation with the Caputo fractional derivative is considered. On a uniform grid, the problem is discretised by using
the $L$1 formula. For the problem solutions with a singularity at time $t$ = 0, the convergence order is $\mathcal{O}(τ^{α_1})$. For any subdomain bounded away from $t$ = 0, the method has
the convergence rate $\mathcal{O}(τ)$, which is better than the convergence rate $\mathcal{O}(τ^{α_1})$ for the
whole time-space domain. Results of theoretical analysis are illustrated by numerical
experiments.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.040220.020520},
url = {http://global-sci.org/intro/article_detail/eajam/17960.html}
}