%0 Journal Article %T Finite difference method for Riesz space fractional diffusion equations with delay and a nonlinear source term %A Yang, Shuiping %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 1 %@ ISSN 2008-1901 %F Yang2018 %X In this paper, we propose a finite difference method for the Riesz space fractional diffusion equations with delay and a nonlinear source term on a finite domain. The proposed method combines a time scheme based on the predictor-corrector method and the Crank-Nicolson scheme for the spatial discretization. The corresponding theoretical results including stability and convergence are provided. Some numerical examples are presented to validate the proposed method. %9 journal article %R 10.22436/jnsa.011.01.03 %U http://dx.doi.org/10.22436/jnsa.011.01.03 %P 17--25