应用数学2012,Vol.25Issue(3):501-505,5.
一类变延迟微分方程谱方法的收敛性
Convergence of Spectral Method for Linear Variable Delay Differential Equation
摘要
Abstract
This paper mainly studies the application spectral method algorithm for a class of linear variable delay differential equation with variable coefficient,gives corresponding numerical method,prove the convergence,and presents two representative numerical examples. These results show that application spectrum method for delay differential equations can obtain spectral convergence and spectral precision.关键词
延迟微分方程/谱方法/收敛性/谱精度/谱收敛Key words
Delay differential equations/ Spectral method/ Convergence/ Spectral accuracy/ Spectral convergence分类
数理科学引用本文复制引用
李东方,王文强..一类变延迟微分方程谱方法的收敛性[J].应用数学,2012,25(3):501-505,5.基金项目
国家自然科学基金(10871207,10971175),教育部高校博士点基金(20094301110001),湖南省自科基金(09JJ3002) (10871207,10971175)