Fredholm积-微分方程Galerkin解的加速收敛分析  

ACCELERATION OF CONVERGENCE FOR GALERKIN APPROXIMATION TO FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

作　　者：胡齐芽[1] 

机构地区：[1]湘潭大学数学系,湖南411105

出　　处：《系统科学与数学》1997年第1期14-18,共5页Journal of Systems Science and Mathematical Sciences

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.

关 键 词：GALERKIN解 积分微分方程 数值解 收敛性 迭代解 

分 类 号：O241.83[理学—计算数学]