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

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Celik E., Bayram M.

APPLIED MATHEMATICS AND COMPUTATION, vol.137, no.1, pp.57-65, 2003 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 137 Issue: 1
• Publication Date: 2003
• Doi Number: 10.1016/s0096-3003(02)00080-2
• Journal Name: APPLIED MATHEMATICS AND COMPUTATION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.57-65
• Yıldız Technical University Affiliated: No

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 Pade series form, which give an arbitrary order for solving differential-algebraic equation numerically. (C) 2002 Elsevier Science Inc. All rights reserved.