CONVERGENCE ANALYSIS OF THE PSEUDOSPECTRAL METHOD FOR LINEAR DAEs OF INDEX-2

被引：2
|
作者：
Ghanbari, F. [1 ]
Ghoreishi, F. [1 ]
机构：
[1] KN Toosi Univ Technol, Fac Sci, Dept Math, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2013年 / 10卷 / 04期
关键词：
Differential-algebraic equation; pseudospectral method; error analysis; index of DAEs; DIFFERENTIAL-ALGEBRAIC EQUATIONS; SYSTEMS; CIRCUIT;
D O I：
10.1142/S0219876213500199
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with the study of pseudospectral discretizations of the differential-algebraic equations (DAEs). Pseudospectral method based on Chebyshev polynomials are used to transcribe a given DAE into a system of algebraic equations. A posteriori error bound between the desired solution to the index 2, DAEs and the pseudospectral approximate solution of the problem is estimated in the weighted L-2 norm. Some numerical experiments are considered to demonstrate the efficiency and the applicability of the method.
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页数：20
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