Euler-Maruyama Method for Regime Switching Stochastic Differential Equations with Hölder Coefficients

Abstract

In this paper, we develop Euler-Maruyama scheme for a wideranging class of stochastic differential equations with regime switching under such conditions that allow drift and diffusion coefficients being Hölder continuous. The strong convergence of the numerical method is proved. In addition, the rate of convergence is obtained under similar conditions to the case of usual diffusions. Some numerical examples are provided to illustrate the results.