On the error analysis of the numerical solution of linear Volterra integral equations of the second kind

被引：2

作者：

Maleknejad, K. ^{[1
]}

Najafi, E. ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

[2] Urmia Univ, Dept Math, Orumiyeh, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 05期

关键词：

Volterra integral equations; collocation method; numerical integration; Chebyshev polynomials; 45D05; 65L60; 65D30; 11R09; SOLVING FREDHOLM; POLYNOMIALS;

D O I：

10.1080/00207160.2012.744451

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the numerical solution of linear Volterra integral equations, two kinds of errors occur. If we use the collocation method, these errors are the collocation and numerical quadrature errors. Each error has its own effect in the accuracy of the obtained numerical solution. In this study we obtain an error bound that is sum of these two errors and using this error bound the relation between the smoothness of the kernel in the equation and also the length of the integration interval and each of these two errors are considered. Concluded results also are observed during the solution of some numerical examples.

引用

页码：1008 / 1022

页数：15

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