A Collocation Method for Volterra Integral Equations

被引：0
作者：
Kolk, Marek [1 ]
机构：
[1] Univ Tartu, Inst Math, EE-50409 Tartu, Estonia
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷
关键词：
Volterra integral equation; weakly singular kernel; boundary singularity; collocation method; logarithmic kernel; PIECEWISE POLYNOMIAL COLLOCATION; SINGULARITIES;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with logarithmic kernels which, in addition to a diagonal singularity, may have a singularity at the initial point of the interval of integration. An attainable order of the convergence of the method is studied. We illustrate our results with a numerical example.
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页码：1187 / 1190
页数：4
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