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

• Autorzy: Babak Shiri , Sedaghat Shahmorad , Gholamreza Hojjati
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

piecewise continuous collocations methods; Volterra integral equations; integral algebraic equations

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 2
• Strony: 341-355

Daty

wydano

2013

otrzymano

2012-05-02

poprawiono

2012-10-07

poprawiono

2013-01-14

Twórcy

autor

Babak Shiri

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

autor

Sedaghat Shahmorad

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

autor

Gholamreza Hojjati

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

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Identyfikatory

DOI

10.2478/amcs-2013-0026