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

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dc.contributor.authorKürkçu, OK
dc.contributor.authorAslan, E
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T11:46:08Z
dc.date.available2024-07-18T11:46:08Z
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 -a of Dickson polynomials and the residual error estimation. (C) 2015 Elsevier Inc. All rights reserved.
dc.identifier.issn0096-3003
dc.identifier.other1873-5649
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2474
dc.language.isoEnglish
dc.publisherELSEVIER SCIENCE INC
dc.subjectVARIATIONAL ITERATION METHOD
dc.subjectHOMOTOPY PERTURBATION METHOD
dc.subjectCOLLOCATION METHOD
dc.subjectAPPROXIMATE SOLUTION
dc.subjectDECOMPOSITION METHOD
dc.subjectTAYLOR
dc.subjectKIND
dc.titleA numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials
dc.typeArticle

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