Girişimcilik Bölümü / Department of Entrepreneurship
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Browsing Girişimcilik Bölümü / Department of Entrepreneurship by Subject "B-spline"
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Publication Embargo B-spline Method For Solving Linear System Of Second-Order Boundary Value Problems(Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-03) Çağlar, Nazan; Çağlar, Hikmet; TR110809; TR114368The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method proposed by J. Lu [J. Lu, Variational iteration method for solving a nonlinear system of second-order boundary value problems, Comput. Math. Appl. 54 (2007) 1133-1138]. The comparison shows that the B-spline method is a more efficient and effective tool and yields better results. (C) 2008 Elsevier Ltd. All rights reserved.Publication Metadata only B-Spline Solution For A Singularly Perturbed Convection-Dominated Diffusion Equation(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2009-04) Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; TR114368; TR110809; TR2509In this study, B-spline method is applied to the convection-dominated diffusion problems. The numerical solution of the equations are discussed and illustrated with an example. Computational results are provided to demonstrate the viability of the present new method.