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Technique Narrative

1-060-RegularPerturbation-TechniqueNarrative

Author(s): Mark Lau

Universidad Ana G Méndez, Gurabo PR

Keywords: perturbation regular perturbation asymptotic expansions analytical approximation Bernoulli equation

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Abstract

Resource Image This paper 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.

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Description

This paper 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.

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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Authors

Author(s): Mark Lau

Universidad Ana G Méndez, Gurabo PR

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