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.scopusid 57196474490
gdc.author.wosid Kürkçü, Ömür Kıvanç/AAQ-4682-2020
gdc.bip.impulseclass C4
gdc.bip.influenceclass C4
gdc.bip.popularityclass C4
gdc.coar.access metadata only access
gdc.coar.type text::journal::journal article
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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
gdc.oaire.diamondjournal false
gdc.oaire.impulse 10.0
gdc.oaire.influence 3.4397791E-9
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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
gdc.oaire.popularity 6.2073156E-9
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
gdc.openalex.collaboration National
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gdc.opencitations.count 14
gdc.plumx.crossrefcites 15
gdc.plumx.mendeley 1
gdc.plumx.scopuscites 17
gdc.scopus.citedcount 17
gdc.virtual.author Kürkçü, Ömür Kıvanç
gdc.wos.citedcount 18
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