Arbitrary order numerical method for solving differential-algebraic equation by Padé series

Authors:
Ercan Çelik;Mustafa Bayram
Affiliations:
Matematik Bölümü, Fen Edebiyat Fakültesi, Atatürk Üniversitesi, 25240-Erzurum, Turkey;Matematik Bölümü, Fen Edebiyat Fakültesi, Atatürk Üniversitesi, 25240-Erzurum, Turkey
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 2
Cited 2

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Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM-Padé technique

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Abstract

In this paper, the solution for a differential-algebraic equation can be expanded up to arbitrary order using MAPLE computer algebra systems [MAPLE V, CRC Press, Boca Raton, FL 33431, 1996]. First we calculate power series of the given equations system then transform it into Padé series form, which give an arbitrary order for solving differential-algebraic equation numerically.