The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method

被引:77
作者
Dehghan, Mehdi [1 ]
Saadatmandi, Abbas [2 ]
机构
[1] Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran
[2] Kashan Univ, Fac Sci, Dept Math, Kashan, Iran
关键词
nonlinear second-order differential system; sinc collocation; sinc function; numerical solution;
D O I
10.1016/j.mcm.2007.02.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The sinc-collocation method is presented for solving a nonlinear system of second-order boundary value problems. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the system of second-order boundary value problems to some algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results. The method is easy to implement and yields very accurate results. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1434 / 1441
页数:8
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