Quadratic Spline Collocation for the Smoothed Weakly Singular Fredholm Integral Equations

被引：2
|
作者：
Pallav, Rene [1 ]
Pedas, Arvet [1 ]
机构：
[1] Univ Tartu, Inst Math, EE-50409 Tartu, Estonia
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2009年 / 30卷 / 9-10期
关键词：
Quadratic spline collocation method; Smoothing transformation; Weakly singular integral equation; TRANSFORMATION; KERNELS;
D O I：
10.1080/01630560903408705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article addresses a quadratic spline collocation method for the numerical solution of weakly singular Fredholm integral equations of the second kind. Using suitable smoothing techniques, optimal global convergence estimates are derived and a local superconvergence result is given.
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页码：1048 / 1064
页数：17
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