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A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems

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dc.contributor.author Mustafa, Ghulam
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ejaz, Syeda Tehmina
dc.contributor.author Anju, Kaweeta
dc.contributor.author Ahmadian, Ali
dc.contributor.author Salahshour, Soheil
dc.contributor.author Ferrara, Massimiliano
dc.date.accessioned 2022-02-11T11:51:27Z
dc.date.available 2022-02-11T11:51:27Z
dc.date.issued 2020
dc.identifier.citation Mustafa, Ghulam...et al. (2020). "A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems", Mathematical Biosciences and Engineering, Vol. 17, No. 6, pp. 6659-6677. tr_TR
dc.identifier.issn 1551-0018
dc.identifier.uri http://hdl.handle.net/20.500.12416/5004
dc.description.abstract In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C 2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly perturbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engineering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/mbe.2020346 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Subdivision Schemes tr_TR
dc.subject Interpolation tr_TR
dc.subject Approximation tr_TR
dc.subject Singularly Perturbed Boundary Value Problem tr_TR
dc.subject Iterative Algorithm tr_TR
dc.title A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Biosciences and Engineering tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 6659 tr_TR
dc.identifier.endpage 6677 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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