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| Titre: | Solving parabolic integro-differential equations with purely nonlocal conditions by using the operational matrices of Bernstein polynomials |
| Auteur(s): | Bencheikh, Abdelkrim
Chiter, Lakhdar
Li, Tongxing |
| Mots-clés: | Integro-differential parabolic equation
purely nonlocal integral conditions
orthonormal Bernstein polynomials
operational matrix
2010 MSC: 33C45, 35K20, 42C05 |
| Date de publication: | 7-nov-2018 |
| Collection/Numéro: | Journal of Nonlinear Sciences and Applications (JNSA);Volume 11, Issue 5, 591-733 Pages: 624--634 |
| Résumé: | Some problems from modern physics and science can be described in terms of partial differential equations with nonlocal
conditions. In this paper, a numerical method which employs the orthonormal Bernstein polynomials basis is implemented to
give the approximate solution of integro-differential parabolic equation with purely nonlocal integral conditions. The properties
of orthonormal Bernstein polynomials, and the operational matrices for integration, differentiation and the product are intro-duced and are utilized to reduce the solution of the given integro-differential parabolic equation to the solution of algebraic
equations. An illustrative example is given to demonstrate the validity and applicability of the new technique |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/2897 |
| ISSN: | Print: ISSN 2008-1898
Online: ISSN 2008-1901 |
| Collection(s) : | Articles
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