A Chebyshev series approximation for linear second- order partial differential equations with complicated conditions

Simple item page
dc.contributor.authorYuksel G.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:18:57Z
dc.date.available2024-07-22T08:18:57Z
dc.date.issued2013
dc.description.abstractThe purpose of this study is to present a new collocation method for the solution of second-order, linear partial differential equations (PDEs) under the most general conditions. The method has improved from Chebyshev matrix method, which has been given for solving of ordinary differential, integral and integro-differential equations. The method is based on the approximation by the truncated bivariate Chebyshev series. PDEs and conditions are transformed into the matrix equations, which corresponds to a system of linear algebraic equations with the unknown Chebyshev coefficients, via Chebyshev collocation points. Combining these matrix equations and then solving the system yields the Chebyshev coefficients of the solution function. Finally, the effectiveness of the method is illustrated in several numerical experiments and error analysis is performed.
dc.identifier.issn21471762
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17469
dc.language.isoEnglish
dc.publisherGazi Universitesi
dc.subjectIntegrodifferential equations
dc.subjectLinear equations
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectOrdinary differential equations
dc.subjectPartial differential equations
dc.subjectPolynomial approximation
dc.subjectBivariate
dc.subjectBivariate chebyshev series
dc.subjectChebyshev
dc.subjectChebyshev collocation method
dc.subjectChebyshev polynomial solution
dc.subjectChebyshev polynomials
dc.subjectChebyshev series
dc.subjectCondition
dc.subjectMatrix equations
dc.subjectPolynomial solution
dc.subjectChebyshev polynomials
dc.titleA Chebyshev series approximation for linear second- order partial differential equations with complicated conditions
dc.typeArticle

Files

Collections

Scopus Koleksiyonu