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中立型随机比例延迟微分方程平衡半隐式Euler方法的均方收敛性 被引量:1

Mean-square Convergence of Balanced Semi-implicit Euler Methods for Neutral Stochastic Pantograph Equations
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摘要 本文讨论求解刚性中立型随机比例延迟微分方程的平衡半隐式Euler方法。证明了中立型随机比例延迟微分方程的平衡半隐式Euler方法是1/2阶均方收敛的。 This paper deals with the balanced semi - implicit Euler methods for solving stiff neutral stochastic pantograph equations. It is proved that the balanced semi - implicit Euler methods of neutral stochastic pantograph equations in xneari - square convergent with stong order p = 1/2.
出处 《数学理论与应用》 2009年第4期47-51,共5页 Mathematical Theory and Applications
基金 国家自然科学基金项目(No.10871207)资助
关键词 中立型随机比例延迟微分方程 平衡方法 半隐式EULER方法 均方收敛性 Neutral stochastic pantograph equations Balanced method Semi - implicit Euler method Mean-square convergence
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同被引文献1

  • 1Zhao G H,Song M H,Liu M Z.Exponential stability of Euler-Maruyama solutions for impulsive stochastic differential equations with delay[J].Appl Math Comput,2010(215):3425-3432.

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