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| Titre: | A New Operational Matrix of Orthonormal Bernstein Polynomials and Its Applications |
| Auteur(s): | Bencheikh, Abdelkrim
Chiter, Lakhdar
Abbassi, Hocine |
| Mots-clés: | Orthonormal Bernstein polynomials(OBPs)
Operational Matrix
Integro-differential equation
Differential equation
. 2010MSC: 34K28, 45G10, 45D05. |
| Date de publication: | 7-nov-2018 |
| Collection/Numéro: | Global Journal of Pure and Applied Mathematics.;Volume 12, Number 5 (2016), pp. 4219-4232 |
| Résumé: | In this work, we introduce a new general procedure of finding operational
matrices of integration
P
, differentiation
D
,and product
C
ˆ
for the
orthonormalBernstein polynomials (OBPs) in the same way as in [12], S. A.
Yousefi, M. Behroozifar, Operational matrices of Bernstein polynomials and
their applications,Int. J. Syst. Sci.41, 709-716, 2010. As an application, these
matrices can be used to solve integral and integro-differential equations,
differential equations, and in some problems in the calculus of variations and
optimal control. The efficiency of this approach is shown by applying this
procedure on some illustrative examples. |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/2896 |
| ISSN: | 0973-1768 |
| Collection(s) : | Articles
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