A Numerical Technique Based on Lucas Polynomials Together With Standard and Chebyshev-Lobatto Collocation Points for Solving Functional Integro-Differential Equations Involving Variable Delays
| dc.contributor.author | Gümgüm, Sevin | |
| dc.contributor.author | Sezer, Mehmet | |
| dc.contributor.author | Savaşaneril, Nurcan Baykuş | |
| dc.contributor.author | Kürkçü, Ömür Kıvanç | |
| dc.date.accessioned | 2023-06-16T15:06:40Z | |
| dc.date.available | 2023-06-16T15:06:40Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this paper, a new numerical matrix-collocation technique is considered to solve functional integrodifferentialequations involving variable delays under the initial conditions. This technique is basedessentially on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points. Somedescriptive examples are performed to observe the practicability of the technique and the residual erroranalysis is employed to improve the obtained solutions. Also, the numerical results obtained by using thesecollocation points are compared in tables and figures. | en_US |
| dc.identifier.doi | 10.16984/saufenbilder.384592 | |
| dc.identifier.issn | 1301-4048 | |
| dc.identifier.issn | 2147-835X | |
| dc.identifier.uri | https://doi.org/10.16984/saufenbilder.384592 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/311421 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/4029 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | A Numerical Technique Based on Lucas Polynomials Together With Standard and Chebyshev-Lobatto Collocation Points for Solving Functional Integro-Differential Equations Involving Variable Delays | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Izmir University of Economics, Department of Mathematics, Izmir, Turkey Manisa Celal Bayar University, Department of Mathematics, Manisa, Turkey Dokuz Eylul University, Izmir Vocational School, Izmir, Türkiye Izmir University of Economics, Department of Mathematics, Izmir, Turkey | en_US |
| gdc.description.endpage | 1668 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 1659 | en_US |
| gdc.description.volume | 22 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.identifier.openalex | W2799461618 | |
| gdc.identifier.trdizinid | 311421 | |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | lucas polynomials | |
| gdc.oaire.keywords | residual error analysis. | |
| gdc.oaire.keywords | Chemistry | |
| gdc.oaire.keywords | functional equations | |
| gdc.oaire.keywords | TA1-2040 | |
| gdc.oaire.keywords | Engineering (General). Civil engineering (General) | |
| gdc.oaire.keywords | QD1-999 | |
| gdc.oaire.keywords | Mathematical Sciences | |
| gdc.oaire.keywords | Functional equations;Matrix technique;Lucas polynomials;Residual error analysis. | |
| gdc.oaire.keywords | matrix technique | |
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| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.opencitations.count | 12 | |
| gdc.plumx.crossrefcites | 6 | |
| gdc.plumx.mendeley | 3 | |
| gdc.virtual.author | Gümgüm, Sevin | |
| gdc.virtual.author | Kürkçü, Ömür Kıvanç | |
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