- Tytuł:
- Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
- Autorzy:
-
Shiri, B.
Shahmorad, S.
Hojjati, G. - Powiązania:
- https://bibliotekanauki.pl/articles/330726.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
piecewise continuous collocations methods
Volterra integral equations
integral algebraic equations
równania całkowe Volterry
równanie algebraiczne - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 341-355
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł