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.authorMustafa, Ghulam
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorEjaz, Syeda Tehmina
dc.contributor.authorAnju, Kaweeta
dc.contributor.authorAhmadian, Ali
dc.contributor.authorSalahshour, Soheil
dc.contributor.authorFerrara, Massimiliano
dc.contributor.authorID56389tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2022-02-11T11:51:27Z
dc.date.available2022-02-11T11:51:27Z
dc.date.issued2020
dc.description.abstractIn 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.identifier.citationMustafa, 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.endpage6677tr_TR
dc.identifier.issn1551-0018
dc.identifier.issue6tr_TR
dc.identifier.startpage6659tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5004
dc.identifier.volume17tr_TR
dc.language.isoengtr_TR
dc.relation.isversionof10.3934/mbe.2020346tr_TR
dc.relation.journalMathematical Biosciences and Engineeringtr_TR
dc.rightsinfo:eu-repo/semantics/openAccesstr_TR
dc.subjectSubdivision Schemestr_TR
dc.subjectInterpolationtr_TR
dc.subjectApproximationtr_TR
dc.subjectSingularly Perturbed Boundary Value Problemtr_TR
dc.subjectIterative Algorithmtr_TR
dc.titleA 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problemstr_TR
dc.typearticletr_TR

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