TY - JOUR
T1 - Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation
AU - J. H. Chen & F. W. Liu
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 3
SP - 253
EP - 264
PY - 2007
DA - 2007/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10069.html
KW - 
AB - 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.