On the numerical solution of differential-algebraic equations by Padé series

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

Citing 3
Cited 1

Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions

Journal of Computational and Applied Mathematics
Solving Ordinary Differential Equations Using Taylor Series

ACM Transactions on Mathematical Software (TOMS)
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

A new numerical algorithm for the Abel equation of the second kind

International Journal of Computer Mathematics

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Abstract

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