Journal of Guangdong University of Technology ›› 2011, Vol. 28 ›› Issue (1): 50-53.

• Comprehensive Studies • Previous Articles     Next Articles

Mean-Square Stability Analysis of EulerMaruyama Method for Scalar Stochastic Delay Differential Equations

  

  1. Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China
  • Online:2011-12-25 Published:2011-12-25

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Abstract: Mean-square stability of EulerMaruyama method is studied for scalar stochastic delay differential equations with multiplicative noise under the condition of analytical meansquare stability.It is proven that the numerical solution is meansquare stable when the stepsize satisfies certain restrictions.Numerical examples verify the theoretical results.

Key words: stochastic delay differential equations; Euler-Maruyama method; mean-square stability

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