@Article{NM-16-253,
author = {J. H. Chen and F. W. Liu},
title = {Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {3},
pages = {253--264},
abstract = {In this paper, we consider a Riesz space-fractional
reaction-dispersion equation (RSFRDE). The RSFRDE is obtained from
the classical reaction-dispersion equation by replacing the
second-order space derivative with a Riesz derivative of order
$\beta\in (1,2].$ We propose an implicit finite difference
approximation for RSFRDE. The stability and convergence of the
finite difference approximations are analyzed. Numerical results are
found in good agreement with the theoretical analysis.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/10069.html}
}