Reducing index, and pseudospectral methods for differential-algebraic equations

Authors:
E. Babolian;M. M. Hosseini
Affiliations:
Institute of Mathematics, University for Teacher Education, Tehran 15614, Iran;Department of Mathematics, Yazd University, Yazd, Iran
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

In this paper, numerical solution of linear differential-algebraic equations is considered by pseudospectral method. Also, an index reduction technique for them is suggested.For Hessenberg index-2 system, the index reduction technique is defined and its use is demonstrated. We give a condition under which the general linear form problem can be easily transformed to the index reduced form by a simple formulation. Furthermore, with providing some examples, the aforementioned cases are dealt with numerically.