Error analysis of the Chebyshev collocation method for linear second-order partial differential equations

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dc.contributor.authorYuksel G.
dc.contributor.authorIsik O.R.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:12:59Z
dc.date.available2024-07-22T08:12:59Z
dc.date.issued2015
dc.description.abstractThe purpose of this study is to apply the Chebyshev collocation method to linear second-order partial differential equations (PDEs) under the most general conditions. The method is given with a priori error estimate which is obtained by polynomial interpolation. The residual correction procedure is modified to the problem so that the absolute error may be estimated. Finally, the effectiveness of the method is illustrated in several numerical experiments such as Laplace and Poisson equations. Numerical results are overlapped with the theoretical results. © 2014 Taylor & Francis.
dc.identifier.DOI-ID10.1080/00207160.2014.966099
dc.identifier.issn00207160
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16246
dc.language.isoEnglish
dc.publisherTaylor and Francis Ltd.
dc.subjectError analysis
dc.subjectPartial differential equations
dc.subjectPolynomials
dc.subjectChebyshev collocation method
dc.subjectChebyshev polynomials
dc.subjectCollocation method
dc.subjectNumerical experiments
dc.subjectPolynomial interpolation
dc.subjectPriori error estimate
dc.subjectResidual correction
dc.subjectSecond-order partial differential equation
dc.subjectNumerical methods
dc.titleError analysis of the Chebyshev collocation method for linear second-order partial differential equations
dc.typeArticle

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