@Article{EAJAM-10-818,
author = {Yuan , WenpingChen , Yanping and Huang , Yunqing},
title = {A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {4},
pages = {818--837},
abstract = {<p style="text-align: justify;">A local discontinuous Galerkin finite element method for a class of time-fractional Burgers equations is developed. In order to achieve a high order accuracy, the
time-fractional Burgers equation is transformed into a first order system. The method
is based on a finite difference scheme in time and local discontinuous Galerkin methods
in space. The scheme is proved to be unconditionally stable and in linear case it has
convergence rate $\mathcal{O}$(τ<sup>2−α</sup>&nbsp;+ $h$<sup>$k$</sup><sup>+1</sup>), where $k$ ≥ 0 denotes the order of the basis functions
used. Numerical examples demonstrate the efficiency and accuracy of the scheme.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.300919.240520},
url = {http://global-sci.org/intro/article_detail/eajam/17963.html}
}