On accurate asymptotic approximations of roots for polynomial equations containing a small, but fixed parameter

On accurate asymptotic approximations of roots for polynomial equations containing a small, but fixed parameter

In this paper, polynomial equations with real coefficients and in one variable were considered which contained a small, positive but specified and fixed parameter $ \varepsilon_0 \neq 0 $. By using the classical asymptotic method, roots of the polynomial equations have been constructed in the litera...

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Bibliographic Details
Main Authors: Fitriana Yuli Saptaningtyas, Wim T Van Horssen, Fajar Adi-Kusumo, Lina Aryati
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:AIMS Mathematics
Subjects:
accurate asymptotic method
bisection method
roots of polynomial equation
small but fixed parameter
validity small $ \varepsilon $-values
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241385?viewType=HTML
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