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A computational procedure to generate difference equations from differential equations

Vaidya, PG and Angadi, S (2004) A computational procedure to generate difference equations from differential equations. In: 6th International Conference on Difference Equations and Applications (ICDEA), JUL 30-AUG 03, 2001, Augsburg, GERMANY.

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Abstract

In this paper we have developed methods to compute maps from differential equations. We take two examples. First is the case of the harmonic oscillator and the second is the case of Duffing's equation. First we convert these equations to a canonical form. This is slightly nontrivial for the Duffing's equation. Then we show a method to extend these differential equations. In the second case, symbolic algebra needs to be used. Once the extensions are accomplished, various maps are generated. The Poincare sections are seen as a special case of such generated maps. Other applications are also discussed.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to CRC Press Inc.
Department/Centre: Others
Date Deposited: 08 Mar 2012 05:00
Last Modified: 08 Mar 2012 05:00
URI: http://eprints.iisc.ernet.in/id/eprint/43793

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