Abstract

Citation

Researchers should cite this work as follows:

• Lau, M. (2023). 1-061-SingularPerturbation-TechniqueNarrative. SIMIODE, (Version 2.0). QUBES Educational Resources. doi:10.25334/SY94-KH96

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Article Context

Description

This paper introduces the basics of singular perturbation methods for solving ordinary differential equations.

Interactive examples will show how the smallness of physical parameters can drastically change the nature of the solutions if those parameters were set to zero, as is the case with regular perturbation.

Interestingly, the examples will illustrate the appearance of boundary layers as the parameters approach small values.

Singular perturbation adds to the arsenal of tools that an analyst can employ to tackle problems that are influenced by a small parameter, such as those encountered in viscous flows and control engineering.