Acta mathematica scientia, Series B >
ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM
Received date: 2007-09-19
Revised date: 2010-03-28
Online published: 2011-03-20
Supported by
Project supported by the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China (200720)
In this article, linear regular index 2 DAEs A(t)[D(t)x(t)]'+B(t)x(t)=q(t) are considered. Using a decoupling technique, initial condition and boundary condition are properly formulated. Regular index 1DAEs are obtained by a regularization method. We study the behavior of the solution of the regularization system via asymptotic expansions. The error analysis between the solutions of the DAEs and its regularization system is given.
LIU Hong , SONG Yong-Zhong . ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 383 -398 . DOI: 10.1016/S0252-9602(11)60239-7
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