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| Titre: | Bernstein polynomials method for numerical solutions of integro-differential form of the singular Emden-Fowler initial value problems |
| Auteur(s): | Bencheikh, Abdelkrim
Chiter, Lakhdar
Abbassi, Hocine |
| Mots-clés: | Bernstein polynomials
Volterra integro-differential equations
Emden-Fowler equation
Gaussian integrations
2010 MSC: 05C12
05C15
05C76 |
| Date de publication: | 7-nov-2018 |
| Collection/Numéro: | Journal of Mathematics and Computer Science (JMCS);Volume 17, Issue 1 Pages: 66-75 |
| Résumé: | In this paper, Bernstein polynomial method applied to the solutions of generalized Emden-Fowler equations as singular
initial value problems is presented. Firstly, the singular differential equations are converted to Volterra integro-differential
equations and then solved by the Bernstein polynomials method. The properties of Bernstein polynomials via Gauss-Legendre
rule are used to reduce the integral equations to a system of algebraic equations which can be solved numerically. Some
illustrative examples are discussed to demonstrate the validity and applicability of the present method |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/2895 |
| ISSN: | 2008-949X |
| Collection(s) : | Articles
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