A numerical method for solving some model problems arising in science and convergence analysis based on residual function

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dc.contributor.authorKürkçü Ö.K.
dc.contributor.authorAslan E.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:10:23Z
dc.date.available2024-07-22T08:10:23Z
dc.date.issued2017
dc.description.abstractIn this study, we solve some widely-used model problems consisting of linear, nonlinear differential and integral equations, employing Dickson polynomials with the parameter-α and the collocation points for an efficient matrix method. The convergence of a Dickson polynomial solution of the model problem is investigated by means of the residual function. We encode useful computer programs for model problems, in order to obtain the precise Dickson polynomial solutions. These solutions are plotted along with the exact solutions in figures and the numerical results are compared with other well-known methods in tables. © 2017 IMACS
dc.identifier.DOI-ID10.1016/j.apnum.2017.06.015
dc.identifier.issn01689274
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15219
dc.language.isoEnglish
dc.publisherElsevier B.V.
dc.subjectConvergence of numerical methods
dc.subjectIntegral equations
dc.subjectNonlinear equations
dc.subjectNumerical methods
dc.subjectProblem solving
dc.subjectCollocation points
dc.subjectConvergence
dc.subjectConvergence analysis
dc.subjectDickson polynomial
dc.subjectMatrix methods
dc.subjectNonlinear differential and integral equations
dc.subjectNumerical results
dc.subjectResidual functions
dc.subjectPolynomials
dc.titleA numerical method for solving some model problems arising in science and convergence analysis based on residual function
dc.typeArticle

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