Numerical Solution of Higher Index Nonlinear Integral Algebraic Equations of Hessenberg Type Using Discontinuous Collocation Methods

被引：16

作者：

Shiri, Babak ^{[1
]}

机构：

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

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2014年 / 19卷 / 01期

关键词：

integral equation; collocation method; piecewise; integral algebraic equation; discontinuous piecewise collocation methods; continuous piecewise collocation methods; 1ST KIND; DISCRETIZATION;

D O I：

10.3846/13926292.2014.893455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with a system of linear and nonlinear integral algebraic equations (IAEs) of Hessenberg type. Convergence analysis of the discontinuous collocation methods is investigated for the large class of IAEs based on the new definitions. Finally, some numerical experiments are provided to support the theoretical results.

引用

页码：99 / 117

页数：19

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