Müntz-Legendre polynomial solutions of linear delay Fredholm integro-differential equations and residual correction

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dc.contributor.authorYüzbaşi S.
dc.contributor.authorGök E.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:18:54Z
dc.date.available2024-07-22T08:18:54Z
dc.date.issued2013
dc.description.abstractIn this paper, we consider the Müntz-Legendre polynomial solutions of the linear delay Fredholm integro-differential equations and residual correction. Firstly, the linear delay Fredholm integro-differential equations are transformed into a system of linear algebraic equations by using by the matrix operations of the Müntz-Legendre polynomials and the collocation points. When this system is solved, the Müntz-Legendre polynomial solution is obtained. Then, an error estimation is presented by means of the residual function and the Müntz-Legendre polynomial solutions are improved by the residual correction method. The technique is illustrated by studying the problem for an example. The obtained results show that error estimation and the residual correction method is very effective.
dc.identifier.DOI-ID10.3390/mca18030476
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17457
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectElectromagnetic wave attenuation
dc.subjectIntegrodifferential equations
dc.subjectLinear algebra
dc.subjectLinear equations
dc.subjectCollocation method
dc.subjectCollocation points
dc.subjectFredholm integro-differential equations
dc.subjectLegendre polynomials
dc.subjectMatrix operations
dc.subjectResidual correction
dc.subjectResidual functions
dc.subjectSystem of linear algebraic equations
dc.subjectPolynomials
dc.titleMüntz-Legendre polynomial solutions of linear delay Fredholm integro-differential equations and residual correction
dc.typeArticle

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