Collocation methods for nonlinear stochastic Volterra integral equations

被引：0
作者：
Xiaoli Xu
Yu Xiao
Haiying Zhang
机构：
[1] Harbin Institute of Technology,
来源：
Computational and Applied Mathematics | 2020年 / 39卷
关键词：
Collocation methods; Boundedness; Hölder condition; Solvability; Strong convergence orders; 34K05; 65E05;
D O I：
暂无
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学科分类号：
摘要：
Influenced by Xiao et al. (J Integral Equations Appl 30(1):197–218, 2018), collocation methods are developed to study strong convergence orders of numerical solutions for nonlinear stochastic Volterra integral equations under the Lipschitz condition in this paper. Some properties of exact solutions are discussed. These properties include the mean-square boundedness, the Hölder condition, and conditional expectations. In addition, this paper considers the solvability, the mean-square boundedness, and strong convergence orders of numerical solutions. At last, we validate our conclusions by numerical experiments.
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