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Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells

dc.contributor.authorKhalid, Aasma
dc.contributor.authorNaeem, Muhammad Nawaz
dc.contributor.authorUllah, Zafar
dc.contributor.authorGhaffar, Abdul
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.author(Al-Qurashi, Maysaa M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-27T12:16:29Z
dc.date.available2019-12-27T12:16:29Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractThis paper is devoted to the study of the Cubic B-splines to find the numerical solution of linear and non-linear 8th order BVPs that arises in the study of astrophysics, magnetic fields, astronomy, beam theory, cylindrical shells, hydrodynamics and hydro-magnetic stability, engineering, applied physics, fluid dynamics, and applied mathematics. The recommended method transforms the boundary problem to a system of linear equations. The algorithm we are going to develop in this paper is not only simply the approximation solution of the 8th order BVPs using Cubic-B spline but it also describes the estimated derivatives of 1st order to 8th order of the analytic solution. The strategy is effectively applied to numerical examples and the outcomes are compared with the existing results. The method proposed in this paper provides better approximations to the exact solution.en_US
dc.description.publishedMonth6
dc.identifier.citationKhalid, Aasma...et al. (2019). "Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells", Mathematics, Vol. 7, No. 6.en_US
dc.identifier.doi10.3390/math7060508
dc.identifier.issn2227-7390
dc.identifier.issue6en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2313
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofMathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject8th Orderen_US
dc.subjectCubic B-Splineen_US
dc.subjectNumerical Solutionen_US
dc.subjectBoundary Value Problemsen_US
dc.subjectCentral Finite Difference Approximationsen_US
dc.subjectAbsolute Erroren_US
dc.subjectSystem of Linear Algebraic Equationsen_US
dc.titleNumerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shellstr_TR
dc.titleNumerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shellsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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