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On the integration of stiff differential equations

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Numerical Analysis

Abstract

Let us try to integrate the differential equation of Van der Pol y″−ε(1−y2)y′+y = 0 with ε=100 by a standard integration routine, say, Fehlbergs method of order 7 with step size control.

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Wanner, G. (1977). On the integration of stiff differential equations. In: Descloux, J., Marti, J. (eds) Numerical Analysis. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’analyse Numérique, vol 37. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5575-4_11

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  • DOI: https://doi.org/10.1007/978-3-0348-5575-4_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-0939-8

  • Online ISBN: 978-3-0348-5575-4

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