摘要
本文对一般形式的线性Fredholm积-微分方程推导出迭代Galerkin解及其导数的渐近展式，从而得到了迭代解的外推估计，同时还获得了理想的校正结果．
In this paper, an asmptotic error expansion for the iterated Galerkin approximation (along with its derivative) to a larger class of linear Fredholm integro-differential equations is derived, and thus the extrapolation estimate is obtained. Moreover, the ideal multilevel correction estimate is given.
出处
《系统科学与数学》
CSCD
北大核心
1997年第1期14-18,共5页
Journal of Systems Science and Mathematical Sciences
关键词
GALERKIN解
积分微分方程
数值解
收敛性
迭代解
Integro-differential equations, iterated approximation, error expansion, extrapolation, multilevel correction
