黑龙江科技学院学报2013，Vol.23Issue(2)：204-209,6.DOI:10.3969/j.issn.1671-0118.2013.02.022
中立Volterra延迟积分微分方程的块θ-方法的稳定性
Stability of block θ-method for linear neutral Volterra delay-integro-differential system
王麟1
作者信息
- 1. 黑龙江科技学院理学院,哈尔滨150027
- 折叠
摘要
Abstract
This paper is aimed at studying the stability of the block θ-method for neutral Volterra delay-integro-differential system. The study builds on the advantage that the block θ-method demonstrates a higher precision and better numerical stability, involves using the block θ-method to study the stability of neutral Volterra delay-integro-differential system, and features theoretical proof that numerical solutions preserves the delay independent stability of its exact solutions. The study produces the block θ-method, proved by a numerical example that when θ∈ (1/2,1 ], the block θ-method is capable of improving the numerical stability and computational efficiency.关键词
Volterra延迟积分微分方程/块θ-方法/稳定性Key words
Volterra delay integro-differential equations/ block θ-method/ stability分类
数理科学引用本文复制引用
王麟..中立Volterra延迟积分微分方程的块θ-方法的稳定性[J].黑龙江科技学院学报,2013,23(2):204-209,6.
