An Inventive Numerical Method for Solving the Most General Form of Integro-Differential Equations With Functional Delays and Characteristic Behavior of Orthoexponential Residual Function
| dc.contributor.author | Kürkçü, Ömür Kıvanç | |
| dc.contributor.author | Aslan, Ersin | |
| dc.contributor.author | Sezer, Mehmet | |
| dc.date.accessioned | 2023-06-16T12:58:48Z | |
| dc.date.available | 2023-06-16T12:58:48Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this study, we constitute the most general form of functional integro-differential equations with functional delays. An inventive method based on Dickson polynomials with the parameter- along with collocation points is employed to solve them. The stability of the solutions is simulated according to an interval of the parameter-. A useful computer program is developed to obtain the precise values from the method. The residual error analysis is used to improve the obtained solutions. The characteristic behavior of the residual function is established with the aid of the orthoexponential polynomials. We compare the present numerical results of the method with those obtained by the existing methods in tables. | en_US |
| dc.identifier.doi | 10.1007/s40314-019-0771-2 | |
| dc.identifier.issn | 2238-3603 | |
| dc.identifier.issn | 1807-0302 | |
| dc.identifier.scopus | 2-s2.0-85062597077 | |
| dc.identifier.uri | https://doi.org/10.1007/s40314-019-0771-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1021 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Computatıonal & Applıed Mathematıcs | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Collocation points | en_US |
| dc.subject | Dickson and orthoexponential polynomials | en_US |
| dc.subject | Error analysis | en_US |
| dc.subject | Matrix method | en_US |
| dc.subject | Fourier Collocation Methods | en_US |
| dc.subject | Differential Equations | en_US |
| dc.subject | Integral-Equations | en_US |
| dc.subject | Error Estimation | en_US |
| dc.subject | Implementation | en_US |
| dc.subject | Dickson | en_US |
| dc.subject | Model | en_US |
| dc.title | An Inventive Numerical Method for Solving the Most General Form of Integro-Differential Equations With Functional Delays and Characteristic Behavior of Orthoexponential Residual Function | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kürkçü, Ömür Kıvanç/0000-0002-3987-7171 | |
| gdc.author.id | aslan, ersin/0000-0002-5496-2075 | |
| gdc.author.id | Sezer, Mehmet/0000-0002-7744-2574 | |
| 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, Fac Arts & Sci, Dept Math, Izmir, Turkey; [Aslan, Ersin] Manisa Celal Bayar Univ, Dept Software Engn, Manisa, Turkey; [Sezer, Mehmet] Manisa Celal Bayar Univ, Dept Math, Fac Sci, Manisa, Turkey | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 38 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2920162861 | |
| gdc.identifier.wos | WOS:000460429800002 | |
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| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | Dickson and orthoexponential polynomials | |
| gdc.oaire.keywords | Linear functional-differential equations | |
| gdc.oaire.keywords | collocation points | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | error analysis | |
| gdc.oaire.keywords | matrix method | |
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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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