Abstract

Citation

Researchers should cite this work as follows:

• Lau, M. (2023). 1-060-RegularPerturbation-TechniqueNarrative. SIMIODE, QUBES Educational Resources. doi:10.25334/978W-GM49

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Article Context

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.