<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type

Faculty of Mathematical Sciences University of Tabriz, 29 Bahmn Boulevard, 5166616471 Tabriz, Iran

International Journal of Applied Mathematics and Computer Science

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...

Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type

Published Online: Jun 28, 2013

Page range: 341 - 355

DOI: https://doi.org/10.2478/amcs-2013-0026

This content is open access.