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, ÖK
dc.contributor.authorAslan, E
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T11:40:17Z
dc.date.available2024-07-18T11:40:17Z
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-a 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. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.
dc.identifier.issn0168-9274
dc.identifier.other1873-5460
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2295
dc.language.isoEnglish
dc.publisherELSEVIER
dc.subjectSCHLOMILCHS INTEGRAL-EQUATION
dc.subjectBOUNDARY-VALUE-PROBLEMS
dc.subjectINTEGRODIFFERENTIAL EQUATIONS
dc.subjectDECOMPOSITION METHOD
dc.subjectOXYGEN DIFFUSION
dc.subjectSPHERICAL CELL
dc.subjectCOLLOCATION
dc.subjectDICKSON
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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