Chelyshkov collocation method for a class of mixed functional integro-differential equations

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dc.contributor.authorOʇuz C.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:13:19Z
dc.date.available2024-07-22T08:13:19Z
dc.date.issued2015
dc.description.abstractIn this study, a numerical matrix method based on Chelyshkov polynomials is presented to solve the linear functional integro-differential equations with variable coefficients under the initial-boundary conditions. This method transforms the functional equation to a matrix equation by means of collocation points. Also, using the residual function and Mean Value Theorem, an error analysis technique is developed. Some numerical examples are performed to illustrate the accuracy and applicability of the method. © 2015 Elsevier Inc.
dc.identifier.DOI-ID10.1016/j.amc.2015.03.024
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16320
dc.language.isoEnglish
dc.publisherElsevier Inc.
dc.subjectBoundary conditions
dc.subjectDifferential equations
dc.subjectIntegrodifferential equations
dc.subjectMatrix algebra
dc.subjectAnalysis techniques
dc.subjectChelyshkov polynomials and series
dc.subjectCollocation method
dc.subjectCollocation points
dc.subjectFunctional equation
dc.subjectResidual error
dc.subjectResidual functions
dc.subjectVariable coefficients
dc.subjectNumerical methods
dc.titleChelyshkov collocation method for a class of mixed functional integro-differential equations
dc.typeArticle

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