A Spline-Projection Method for Ill-Posed Integrodifferential Equations

被引：0

作者：

Agachev, Yu. R. ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2008年 / 52卷 / 09期

关键词：

Sobolev space; integrodifferential equation; polynomial spline; projection method; convergence;

D O I：

10.3103/S1066369X08090016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the general linear boundary value problem for ill-posed integrodifferential equations of an arbitrarily fixed finite order. We theoretically substantiate one version of the general spline-projection method. In particular, the obtained general results allow us to deduce the convergence of the spline methods of collocation and subdomains.

引用

页码：1 / 8

页数：8

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