Publication:
B-spline Method For Solving Linear System Of Second-Order Boundary Value Problems

Date
2009-03
Authors
Çağlar, Nazan
Çağlar, Hikmet
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Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England
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Abstract
The 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.
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Keywords
Second-order boundary value problems, B-spline, linear system, differential equation, boundary conditions, ordinary differential-equations, nonlinear-system, existence, İkinci dereceden sınır değer problemleri, lineer sistem, diferansiyel denklem, sınır şartları, Adi diferansiyel denklemler, doğrusal olmayan sistem, varoluş
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