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Applied Mathematics and Computation
Volume 154, Issue 2, 5 July 2004, Pages 405-413
 
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doi:10.1016/S0096-3003(03)00719-7    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier Inc. All rights reserved.

Numerical solution of differential–algebraic equation systems and applications

Ercan ÇelImage kCorresponding Author Contact Information, E-mail The Corresponding Author and Mustafa Bayram

Atatürk Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 25240, Erzurum, Turkey

Available online 15 August 2003.

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Abstract

In this paper, the method is developed to differential–algebraic equations systems. More effective method is presented and illustrated by numerical example. The solution for a differential–algebraic equation can be expanded up to arbitrary order using MAPLE computer algebra systems. 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.

Author Keywords: Differential–algebraic equation; Arbitrary order; Power series; Padé series

Article Outline

1. Introduction
2. The method
3. Power series of solution for differential–algebraic equations
4. Padé approximation (series)
5. The numerical example
6. Conclusion
References




 
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