The mean square stability of semi-implicit euler method for the model of technology innovation network

Abstract

This paper takes a model of the technology innovation network, deals with the mean-square stability of semi-implicit Euler method for the technology innovation network as a model. It is shown that the semi-implicit Euler method inherits the mean-square stability property of the analytic system and it is mean square stable with no restrictions on the step size and has important significance to maintain the network stability. Numerical experiments are presented to illustrate the results.