ZAOUIA, Saliha (2018) Approximation de problèmes fonctionnels et problèmes aux valeurs propres par quasi-interpolants splines. Doctoral thesis, Université de Batna 2.
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Abstract
Three main contributions are presented in this paper. First, the septic quasi-interpolants are calculated with all their coefficients. Second, we explore the results to solve a generalized and broad class of Fredholm integral equations of the second kind. Finally,we present three degenerate kernel methods; the latter is a combination of the two previously established methods in the literature.Moreover, we provide a convergence analysis and we give new error bounds. Lastly, we exhibit some numerical examples and compare them with previous results in the literature.
| Item Type: | Thesis (Doctoral) |
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| Uncontrolled Keywords: | Septic spline, quasi-interpolation, integral equations. |
| Subjects: | Mathématiques |
| Divisions: | Faculté des mathématiques et de l'informatique > Département des mathématiques |
| Date Deposited: | 12 Mar 2018 10:00 |
| Last Modified: | 12 Mar 2018 10:00 |
| URI: | http://eprints.univ-batna2.dz/id/eprint/1540 |
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