@Article{EAJAM-8-764,
author = {Sadia Arshad, Dumitru Baleanu, Jianfei Huang, Yifa Tang and Yue Zhao},
title = {A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {4},
pages = {764--781},
abstract = {<p style="text-align: justify;">A finite difference method for a class of time-space fractional diffusion equations
is considered. The trapezoidal formula and a fourth-order fractional compact difference
scheme are, respectively, used in temporal and spatial discretisations and the
method stability is studied. Theoretical estimates of the convergence in the $L_2$ -norm
are shown to be $\mathscr{O}(τ^2+h^4)$, where $τ$ and $h$ are time and space mesh sizes. Numerical
examples confirm theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.280218.210518},
url = {http://global-sci.org/intro/article_detail/eajam/12818.html}
}