Direct Method to Solve Differential-Algebraic Equations by Using the Operational Matrices of Chebyshev Cardinal Functions

被引：0
|
作者：
Heydari, M. [1 ]
Loghmani, G. Barid [1 ]
Hosseini, S. M. [2 ]
Karbassi, S. M. [3 ]
机构：
[1] Yazd Univ, Dept Math, Math, POB 89195-741, Yazd, Iran
[2] Islamic Azad Univ, Khatam Ctr, Dept Math, Math, Yazd, Iran
[3] Islamic Azad Univ, Dept Math, Yazd Branch, Math, Yazd, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2013年 / 7卷 / 02期
关键词：
Linear and nonlinear differential-algebraic equations; Chebyshev cardinal function; operational matrix of integration; index reduction method;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new and effective direct method to determine the numerical solution of linear and nonlinear differential-algebraic equations (DAEs) is proposed. The method consists of expanding the required approximate solution as the elements of Chebyshev cardinal functions. The operational matrices for the integration and product of the Chebyshev cardinal functions are presented. A general procedure for forming these matrices is given. These matrices play an important role in modelling of problems. By using these operational matrices together, a differential-algebraic equation can be transformed to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
引用
收藏
页码：25 / 47
页数：23
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