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

• Autorzy: Shiri B. , Shahmorad S. , Hojjati G.
• 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

PL

równania całkowe Volterry; równanie algebraiczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: Vol. 23, no. 2
• Strony: 341--355
• Opis fizyczny: Bibliogr. 21 poz., tab.

Twórcy

autor

Shiri B.

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

autor

Shahmorad S.

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

autor

Hojjati G.

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

Bibliografia

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