奇异核Volterra积分方程迭代配置解的超收敛性  

SUPERCONVERGENCE OF INTEGRATED COLLOCATIONSOLUTION TO VOLTERRA EQUATION WITHWEAKLY SINGULAR KERNEL

作　　者：林伟健[1] 韩国强[1] 

机构地区：[1]华南理工大学计算机工程与科学系

出　　处：《华南理工大学学报（自然科学版）》1997年第3期67-71,共5页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金;广东省自然科学基金

摘　　要：讨论一类奇异核Ｖｏｌｔｅｒｒａ积分方程样条配置法及迭代配置法，证明了适当选取配置参数及等级网格时，迭代配置解在节点处还具有超收敛性。This paper deals with spline collocation method and iterated collocation method to solve a class of Volterra integral equation with weakly singular kernel, showing that superconvergence of iterated collocation solution at knot points may be obtained by selecting appropriate collocation parameters and graded meshes.

关 键 词：奇异积分方程 伏特拉积分方程 迭代配置解 超收敛性 

分 类 号：O241.83[理学—计算数学] O175[理学—数学]