NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS-Reference-Cited by-同舟云学术

NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS

Published:2014-02-20 Issue:1 Volume:19 Page:99-117
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Shiri Babak¹

Affiliation:

1. Faculty of Mathematical Sciences, University of Tabriz Tabriz, Iran

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference18 articles.

1. Theoretical Numerical Analysis

2. Discretization of Volterra integral equations of the first kind

3. Discretization of Volterra integral equations of the first kind (II)

4. Collocation Methods for Volterra Integral and Related Functional Differential Equations

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