An application of asymptotic analysis in linear stellar pulsation: A case of non-distinct characteristic roots

Winfield, CJ
Kinemat. fiz. nebesnyh tel (Online) 2024, 40(4):63-77
https://doi.org/10.15407/kfnt2024.04.063
Language: Ukrainian
Abstract: 

We study a system of equations, involving a large parameter, arising from the study of stellar pulsation for which a combination of procedures is used to approximate a fundamental solution. We present a combination of singular and non-singular perturbation methods which, aided by symbolic computation, may be of multi-disciplinary interest for the analysis as well as a astrophysics application. Example software is presented in the Wolfram Language (Mathematica version 13.2).

Keywords: asymptotic analysis, perturbation methods, system of equations
References: 

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