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

Babak Shiri; Sedaghat Shahmorad; Gholamreza Hojjati

doi:10.2478/amcs-2013-0026

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

International Journal of Applied Mathematics and Computer Science

Volume 23 (2013): Issue 2 (June 2013)

By: Babak Shiri, Sedaghat Shahmorad and Gholamreza Hojjati

Open Access

|Jun 2013

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2013-0026 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 341 - 355

Published on: Jun 28, 2013

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

piecewise continuous collocations methods,

Volterra integral equations,

integral algebraic equations

Related subjects:

Mathematics,

Applied mathematics

© 2013 Babak Shiri, Sedaghat Shahmorad, Gholamreza Hojjati, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 23 (2013): Issue 2 (June 2013)