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Asymptotic solvers for oscillatory systems of differential equations

Condon, Marissa (2011) Asymptotic solvers for oscillatory systems of differential equations. SeMA Journal, 53 . pp. 79-101. ISSN 1575-9822

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Abstract

We describe an asymptotic method for approximating solutions of systems of ODEs with oscillatory forcing terms. The approach is based on asymptotic expansions in inverse powers of the oscillatory parameter ! and on modulated Fourier expansions. We revise some relevant examples, including problems that appear in the modelling of mechanical and electronic systems, and for which the proposed procedure is superior to standard methods.

Item Type:Article (Published)
Refereed:Yes
Uncontrolled Keywords:Initial value problems; oscillatory ordinary differential equations; modulated Fourier expansions; asymptotic expansions
Subjects:Engineering > Electronic engineering
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Publisher:Spanish Society of Applied Mathematics
Official URL:http://www.sema.org.es/web/index.php?option=com_wrapper&Itemid=85
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
ID Code:16358
Deposited On:23 May 2011 11:33 by Fran Callaghan. Last Modified 23 May 2011 11:34

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