Lucas Polynomial Solution of Nonlinear Differential Equations With Variable Delays
| dc.contributor.author | Gumgum, Sevin | |
| dc.contributor.author | Savasaneril, Nurcan Baykus | |
| dc.contributor.author | Kürkçü, ÖmÜr Kıvanç | |
| dc.contributor.author | Sezer, Mehmet | |
| dc.date.accessioned | 2023-06-16T14:38:52Z | |
| dc.date.available | 2023-06-16T14:38:52Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions. | en_US |
| dc.identifier.doi | 10.15672/hujms.460975 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.scopus | 2-s2.0-85067350101 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.460975 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/489651 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2342 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe Univ, Fac Sci | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematıcs And Statıstıcs | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | nonlinear delay differential equations | en_US |
| dc.subject | variable delays | en_US |
| dc.subject | matrix and collocation methods | en_US |
| dc.subject | Lucas polynomials and series | en_US |
| dc.subject | Collocation Method | en_US |
| dc.title | Lucas Polynomial Solution of Nonlinear Differential Equations With Variable Delays | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kürkçü, Ömür Kıvanç/0000-0002-3987-7171 | |
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| gdc.author.wosid | Kürkçü, Ömür Kıvanç/AAQ-4682-2020 | |
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| gdc.coar.access | open access | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Gumgum, Sevin; Kürkçü, ÖmÜr Kıvanç] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; [Savasaneril, Nurcan Baykus] Dokuz Eylul Univ, Izmir Vocat Sch, Izmir, Turkey; [Sezer, Mehmet] Manisa Celal Bayar Univ, Dept Math, Manisa, Turkey | en_US |
| gdc.description.endpage | 564 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 553 | en_US |
| gdc.description.volume | 49 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2954849233 | |
| gdc.identifier.trdizinid | 489651 | |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Nonlinear delay differential equations;Variable delays;Matrix and collocation methods;Lucas polynomials and series. | |
| gdc.oaire.keywords | Mathematical Sciences | |
| gdc.oaire.keywords | variable delays | |
| gdc.oaire.keywords | matrix and collocation methods | |
| gdc.oaire.keywords | Lucas polynomials and series | |
| gdc.oaire.keywords | Numerical methods for functional-differential equations | |
| gdc.oaire.keywords | nonlinear delay differential equations | |
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| gdc.opencitations.count | 17 | |
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| gdc.virtual.author | Gümgüm, Sevin | |
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