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dc.contributor.authorAmlani, Khimyaen_US
dc.contributor.authorKumar, Manojen_US
dc.contributor.authorShukla, Ananden_US
dc.date.accessioned2022-01-14T16:36:23Z
dc.date.available2022-01-14T16:36:23Z
dc.date.issued2022
dc.identifier.citationAmlani, K., Kumar, M. & Shukla, A. (2022). Cubic B-spline collocation method for coupled system of ordinary differential equations with various boundary conditions. TWMS Journal Of Applied And Engineering Mathematics, 12(1), 11-23.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3384
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/114-vol12no1/789
dc.description.abstractThis paper is concerned with collocation approach using cubic B-spline to solve coupled system of boundary value problems with various boundary conditions. The collocation equations are methodically derived using cubic B splines, for problems with Dirichlet data and an iterative method with assured convergence is described to solve the resulting system of algebraic equations. Problems with Cauchy or mixed boundary condition have been converted into series of Dirichlet problems using the bisection method. Nonlinear problem is linearized using quasilinearization to be handled by our method. Fourth order equation is converted into a coupled second order equations and solved by the proposed method . Several illustrative examples are presented with their error norms and order of convergence.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectBisection methoden_US
dc.subjectBoundary Value Problemen_US
dc.subjectCollocation methoden_US
dc.subjectCubic B-splineen_US
dc.subjectQuasilinearizationen_US
dc.titleCubic B-spline collocation method for coupled system of ordinary differential equations with various boundary conditionsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume12
dc.identifier.issue1
dc.identifier.startpage11
dc.identifier.endpage23
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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