CONVERGENCE ANALYSIS OF PIECEWISE CONTINUOUS COLLOCATION METHODS FOR HIGHER INDEX INTEGRAL ALGEBRAIC EQUATIONS OF THE HESSENBERG TYPE

被引：14

作者：

Shiri, Babak ^{[1
]}

Shahmorad, Sedaghat ^{[1
]}

Hojjati, Gholamreza ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz 5166616471, Iran

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2013年 / 23卷 / 02期

关键词：

piecewise continuous collocations methods; Volterra integral equations; integral algebraic equations; 1ST KIND; REGULARIZATION; DISCRETIZATION;

D O I：

10.2478/amcs-2013-0026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments are provided to support the theoretical results.

引用

页码：341 / 355

页数：15

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