A Spline Collocation Method for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

被引：1

作者：

H. Brunner

A. Pedas

G. Vainikko

机构：

[1] Memorial University of Newfoundland,Department of Mathematics & Statistics

[2] University of Tartu,Department of Applied Mathematics

[3] Helsinki University of Technology,Institute of Mathematics

来源：

BIT Numerical Mathematics | 2001年 / 41卷

关键词：

Volterra integro-differential equation; weakly singular kernel; piecewise polynomial collocation method; graded grid; attainable order of convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The piecewise polynomial collocation method is discussed to solve linear Volterra integro-differential equations with weakly singular or other nonsmooth kernels. Using special graded grids, global convergence estimates are derived. The error analysis is based on certain regularity properties of the solution of the initial value problem.

引用

页码：891 / 900

页数：9

共 16 条

[11]

Pedas A.(1985)The numerical solution of linear integrodifferential equations by projection methods J. Integral Equations 9 171-190

[12]

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