摘要
本文讨论线性Volterra时滞积一微分方程的连续分片多项式样条配置方法．在适当条件下，获得了配置解的导数在结点集上成立的精细误差展开式．以此为基础，给出了配置解的多重校正格式．
In this paper the continuous piecewise polynomial spline collocation method for linear Volterra delay-integro-different equation is discussed. It is shown that the first derivative of the corresponding collocation solution admits, under suitable assumptions, a precise error expansion at the knots. Based on this expansion, a multilevel correction estimate of this collocation solution is obtained.
出处
《系统科学与数学》
CSCD
北大核心
1999年第2期134-141,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学青年基金
关键词
配置解
误差展开式
校正估计
积分微分方程
Delay-integro-differential equation , collocation solution,error expansion,multilevel correction
