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.

引用

页码：1048 / 1064

页数：17

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