• 论文 •

### 一类随机分数阶微分方程隐式Euler方法的弱收敛性与弱稳定性

1. 湘潭大学数学与计算科学学院, 湖南 湘潭 411105
• 收稿日期:2013-12-23 出版日期:2014-06-15 发布日期:2014-05-29
• 通讯作者: 王文强，Email：wwq@xtu.edu.cn.
• 基金资助:

国家自然科学基金（11271311、11171352）资助项目.

Wang Wenqiang, Sun Xiaoli. WEAK CONVERGENCE AND WEAK STABILITY OF IMPLICIT EULER METHOD FOR STOCHASTIC FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Numerical Methods and Computer Applications, 2014, 35(2): 153-162.

### WEAK CONVERGENCE AND WEAK STABILITY OF IMPLICIT EULER METHOD FOR STOCHASTIC FRACTIONAL DIFFERENTIAL EQUATION

Wang Wenqiang, Sun Xiaoli

1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
• Received:2013-12-23 Online:2014-06-15 Published:2014-05-29

The authors mainly study the weak convergence and weak stability of implicit Euler method for stochastic fractional differential equation. In this paper, an implicit numerical method for the stochastic fractional differential equation is proposed. 1-order weak convergence and weak stability of the implicit Euler method are established. Finally, one numerical example is given. The theoretical results are also confirmed by a numerical experiment.

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