B-spline method for solving linear system of second-order boundary value problems

被引：49
|
作者：
Caglar, Nazan [1 ]
Caglar, Hikmet [2 ]
机构：
[1] Istanbul Kultur Univ, Fac Econ & Adm Sci, TR-34156 Atakoy Istanbul, Turkey
[2] Istanbul Kultur Univ, Dept Math Comp, Istanbul, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 05期
关键词：
Second-order boundary value problems; B-spline; Linear system; Differential equation; Boundary conditions; ORDINARY DIFFERENTIAL-EQUATIONS; NONLINEAR-SYSTEM; EXISTENCE;
D O I：
10.1016/j.camwa.2008.09.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：757 / 762
页数：6
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