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dc.contributor.authorTurkyilmazoglu, M.
dc.date.accessioned2019-12-16T09:39:25Z
dc.date.available2019-12-16T09:39:25Z
dc.date.issued2010
dc.identifier.issn0898-1221
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2010.07.052
dc.identifier.urihttp://hdl.handle.net/11655/19717
dc.description.abstractThe present paper is concerned with the approximate analytic series solution of the nonlinear two-point second-order singularly perturbed boundary value problems. In place of the traditional numerical, perturbation or asymptotic methods, a homotopy technique is employed. It is shown that proper choices of an auxiliary linear operator and also an initial approximation during the implementation of the homotopy analysis method (HAM) can yield uniformly valid and accurate solutions. The fast convergence of the method is ensured by the optimal convergence control parameter obtained through the absolute residual error concept. To demonstrate the favor of the HAM over the traditional finite-difference techniques several nonlinear problems have been solved and compared. (C) 2010 Elsevier Ltd. All rights reserved.
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.isversionof10.1016/j.camwa.2010.07.052
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics
dc.titleSeries Solution of Nonlinear Two-Point Singularly Perturbed Boundary Layer Problems
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.relation.journalComputers & Mathematics With Applications
dc.contributor.departmentMatematik
dc.identifier.volume60
dc.identifier.issue7
dc.identifier.startpage2109
dc.identifier.endpage2114
dc.description.indexWoS
dc.description.indexScopus


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