Strong convergence of the split-step theta method for neutral stochastic delay differential equations

被引：17

作者：

Yan, Zhiping

Xiao, Aiguo ^{[1
]}

Tang, Xiao

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 120卷

基金：

中国国家自然科学基金;

关键词：

Neutral stochastic delay differential equation; Split-step theta method; Strong convergence; Highly nonlinear condition; BACKWARD EULER METHOD; MEAN-SQUARE CONVERGENCE; EXPONENTIAL STABILITY; NUMERICAL-SOLUTIONS; APPROXIMATION; MODEL;

D O I：

10.1016/j.apnum.2017.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Neutral stochastic delay differential equations often appear in various fields of science and engineering. The aim of this article is to investigate the strong convergence of the split step theta (SST) method for the neutral stochastic delay differential equations, where the corresponding coefficients may be highly nonlinear with respect to the delay variables. In particular, we reveal that the SST method with theta is an element of [0, 1] strongly converges to the exact solution with the order 1/2. Some numerical results are presented to confirm the obtained results. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：215 / 232

页数：18

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