@Article{CiCP-19-733,
author = {Boling Guo, Qiang Xu and Ailing Zhu},
title = {A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {3},
pages = {733--757},
abstract = {<p style="text-align: justify;">A finite difference method which is second-order accurate in time and in
space is proposed for two-dimensional fractional percolation equations. Using the
Fourier transform, a general approximation for the mixed fractional derivatives is analyzed.
An approach based on the classical Crank-Nicolson scheme combined with
the Richardson extrapolation is used to obtain temporally and spatially second-order
accurate numerical estimates. Consistency, stability and convergence of the method
are established. Numerical experiments illustrating the effectiveness of the theoretical
analysis are provided.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.011214.140715a},
url = {http://global-sci.org/intro/article_detail/cicp/11107.html}
}