1-060-Text-S-RegularPerturbation

By Mark A. Lau

Electrical and Computer Engineering, Universidad Ana G. Mendez , Gurabo PUERTO RICO

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Abstract

This Technique Narrative presents an introduction to a set of analytical approximations referred to as regular perturbation.

This is a particular mathematical tool within the broader set of perturbation methods. In general, perturbation methods are analytical techniques for obtaining approximate solutions to problems involving a small parameter, say ε.

These methods are especially powerful when problems are not amenable to closed-form solutions; moreover, perturbation methods can give further insight and corroborate the reasonableness of numerically obtained solutions. Several examples are presented here to introduce regular perturbation; electronic spreadsheet interactive models are included to help readers visualize the effectiveness of this method.

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Researchers should cite this work as follows:

  • Mark A. Lau (2019), "1-060-Text-S-RegularPerturbation," https://www.simiode.org/resources/6090.

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