In this paper, a novel implicit finite difference method for the onedimensional fractional percolation equation is proposed. Consistency, stability and convergence of the method are established. Some numerical examples are given. The numerical results demonstrate the effectiveness of theoretical analysis.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.