A numerical technique for solving functional integro-differential equations having variable bounds

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dc.contributor.authorGökmen E.
dc.contributor.authorGürbüz B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:09:32Z
dc.date.available2024-07-22T08:09:32Z
dc.date.issued2018
dc.description.abstractIn this paper, a collocation method based on Taylor polynomials is presented to solve the functional delay integro-differential equations with variable bounds. Using this method, we transform the functional equations to a system of linear algebraic equations. Thus, the unknown coefficients of the approximate solution are determined by solving this system. An error analysis technique based on residual function is developed to improve the numerical solution. Some numerical examples are given to illustrate the accuracy and applicability of the method. Finally, the data are examined according to the residual error estimation. All numerical computations have been performed on the computer programs. © 2018, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
dc.identifier.DOI-ID10.1007/s40314-018-0653-z
dc.identifier.issn22383603
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14867
dc.language.isoEnglish
dc.publisherSpringer Science and Business Media, LLC
dc.subjectLinear algebra
dc.subjectLinear equations
dc.subjectMathematical transformations
dc.subjectNumerical methods
dc.subjectTaylor series
dc.subject41a55
dc.subject41a58
dc.subject65g99
dc.subject65l60
dc.subjectApproximate solution
dc.subjectCollocation points
dc.subjectFunctional integro-differential equation
dc.subjectResidual error
dc.subjectResidual error technique
dc.subjectTaylor polynomials
dc.subjectIntegrodifferential equations
dc.titleA numerical technique for solving functional integro-differential equations having variable bounds
dc.typeArticle

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