@Article{EAJAM-8-4,
author = {},
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 = {https://global-sci.com/article/82679/a-fourth-order-finite-difference-method-for-time-space-fractional-diffusion-equations}
}