Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials
| dc.contributor.author | Alshbool, M.H.T. | |
| dc.contributor.author | Bataineh, A.S. | |
| dc.contributor.author | Hashim, I. | |
| dc.contributor.author | Isik, O.R. | |
| dc.date.accessioned | 2020-11-20T16:48:44Z | |
| dc.date.available | 2020-11-20T16:48:44Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1311-8080 | |
| dc.identifier.uri | https://doi.org/10.12732/ijpam.v100i1.10 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12809/6057 | |
| dc.description.abstract | We present an approximate solution depending on collocation method and Bernstein polynomials for numerical solution of a singular nonlinear differential equations with the mixed conditions. The method is given with two different priori error estimates. By using the residual correction procedure, the absolute error might be estimated and obtained more accurate results. Illustrative examples are included to demonstrate the validity and applicability of the presented technique. © 2015 Academic Publications, Ltd. | en_US |
| dc.item-language.iso | eng | en_US |
| dc.publisher | Academic Press | en_US |
| dc.item-rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bernstein polynomials | en_US |
| dc.subject | Error estimate | en_US |
| dc.subject | Singular differential equations | en_US |
| dc.title | Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials | en_US |
| dc.item-type | article | en_US |
| dc.contributor.department | MÜ | en_US |
| dc.contributor.departmentTemp | Alshbool, M.H.T., School of Mathematical Sciences, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor, 43600, Malaysia; Bataineh, A.S., Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, 19117, Jordan; Hashim, I., School of Mathematical Sciences, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor, 43600, Malaysia; Isik, O.R., Department of Mathematics, Faculty of Sciences, Mugla Sitki Kocman University, Mugla, 48000, Turkey | en_US |
| dc.identifier.doi | 10.12732/ijpam.v100i1.10 | |
| dc.identifier.volume | 100 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 109 | en_US |
| dc.identifier.endpage | 125 | en_US |
| dc.relation.journal | International Journal of Pure and Applied Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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