A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations With Functional Bounds by Means of Dickson Polynomials
| dc.contributor.author | Kürkçü, ÖmÜr Kıvanç | |
| dc.contributor.author | Aslan, Ersin | |
| dc.contributor.author | Sezer, Mehmet | |
| dc.contributor.author | Ilhan, Ozgul | |
| dc.date.accessioned | 2023-06-16T14:31:33Z | |
| dc.date.available | 2023-06-16T14:31:33Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this study, we have considered the linear classes of differential-(difference), integro-differential-(difference) and integral equations by constituting a generalized form, which contains proportional delay, difference, differentiable difference or delay. To solve the generalized form numerically, we use the efficient matrix technique based on Dickson polynomials with the parameter-a along with the collocation points. We also encode the useful computer program for susceptibility of the technique. The residual error analysis is implemented by using the residual function. The consistency of the technique is analyzed. Also, the numerical results illustrated in tables and figures are compared. | en_US |
| dc.identifier.doi | 10.1142/S0219876218500391 | |
| dc.identifier.issn | 0219-8762 | |
| dc.identifier.issn | 1793-6969 | |
| dc.identifier.scopus | 2-s2.0-85033432269 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219876218500391 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2142 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Internatıonal Journal of Computatıonal Methods | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Collocation points | en_US |
| dc.subject | delay integro-differential equations | en_US |
| dc.subject | Dickson polynomials | en_US |
| dc.subject | matrix technique | en_US |
| dc.subject | residual error analysis | en_US |
| dc.subject | Differential-Difference Equations | en_US |
| dc.subject | Collocation Method | en_US |
| dc.subject | Integral-Equations | en_US |
| dc.subject | Matrix-Method | en_US |
| dc.subject | Residual Correction | en_US |
| dc.subject | Taylor Polynomials | en_US |
| dc.subject | Error Estimation | en_US |
| dc.subject | Fredholm | en_US |
| dc.subject | Legendre | en_US |
| dc.subject | Systems | en_US |
| dc.title | A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations With Functional Bounds by Means of Dickson Polynomials | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kürkçü, Ömür Kıvanç/0000-0002-3987-7171 | |
| gdc.author.scopusid | 57038964500 | |
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| gdc.author.wosid | Kürkçü, Ömür Kıvanç/AAQ-4682-2020 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Kürkçü, ÖmÜr Kıvanç] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; [Aslan, Ersin] Manisa Celal Bayar Univ, Turgutlu Vocat Training Sch, Manisa, Turkey; [Sezer, Mehmet] Manisa Celal Bayar Univ, Dept Math, TR-45140 Manisa, Turkey; [Ilhan, Ozgul] Mugla Sitki Kocman Univ, Dept Math, Mugla, Turkey | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 15 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2766872531 | |
| gdc.identifier.wos | WOS:000434322300011 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
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| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | residual error analysis | |
| gdc.oaire.keywords | Dickson polynomials | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | Numerical methods for functional-differential equations | |
| gdc.oaire.keywords | collocation points | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | delay integro-differential equations | |
| gdc.oaire.keywords | matrix technique | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Kürkçü, Ömür Kıvanç | |
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