B-spline Method For Solving Linear System Of Second-Order Boundary Value Problems
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.
Subject
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
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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