Rational Chebyshev collocation method for solving nonlinear heat transfer equations

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dc.contributor.authorDeniz S.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:07:38Z
dc.date.available2024-07-22T08:07:38Z
dc.date.issued2020
dc.description.abstractIn this paper, the classical collocation method has been revisited and modified by using the Chebyshev polynomials for solving nonlinear differential equations. Linear and nonlinear terms are converted to algebraical equations with the aid of the matrix relations. Resulting equations are solved to get unknown coefficients of rational Chebyshev polynomials. We apply the proposed technique for solving nonlinear heat transfer equations. Obtained results reveal that the rational Chebyshev collocation method can be safely applied to different types of nonlinear ordinary differential equations arising in science and engineering. © 2020 Elsevier Ltd
dc.identifier.DOI-ID10.1016/j.icheatmasstransfer.2020.104595
dc.identifier.issn07351933
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14042
dc.language.isoEnglish
dc.publisherElsevier Ltd
dc.subjectHeat transfer coefficients
dc.subjectOrdinary differential equations
dc.subjectPolynomials
dc.subjectChebyshev collocation method
dc.subjectChebyshev polynomials
dc.subjectCollocation method
dc.subjectNonlinear differential equation
dc.subjectNonlinear heat transfer
dc.subjectNonlinear ordinary differential equation
dc.subjectScience and engineering
dc.subjectUnknown coefficients
dc.subjectNonlinear equations
dc.titleRational Chebyshev collocation method for solving nonlinear heat transfer equations
dc.typeArticle

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