A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials

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dc.contributor.authorKürkçü Ö.K.
dc.contributor.authorAslan E.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:12:05Z
dc.date.available2024-07-22T08:12:05Z
dc.date.issued2016
dc.description.abstractIn this paper, a matrix method based on the Dickson polynomials and collocation points is introduced for the numerical solution of linear integro-differential-difference equations with variable coefficients under the mixed conditions. In addition, in order to improve the numerical solution, an error analysis technique relating to residual functions is performed. Some linear and nonlinear numerical examples are given to illustrate the accuracy and applicability of the method. Eventually, the obtained results are discussed according to the parameter-α of Dickson polynomials and the residual error estimation. © 2015 Elsevier Inc. All rights reserved.
dc.identifier.DOI-ID10.1016/j.amc.2015.12.025
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15898
dc.language.isoEnglish
dc.publisherElsevier Inc.
dc.subjectAlgorithms
dc.subjectDifference equations
dc.subjectDifferential equations
dc.subjectError analysis
dc.subjectErrors
dc.subjectIterative methods
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectPerturbation techniques
dc.subjectAnalysis techniques
dc.subjectDickson polynomial
dc.subjectDifferential-difference equations
dc.subjectHomotopy Perturbation Method (HPM)
dc.subjectMatrix methods
dc.subjectNumerical approaches
dc.subjectResidual functions
dc.subjectVariable coefficients
dc.subjectPolynomials
dc.titleA numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials
dc.typeArticle

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