Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3403
Title: Late-order terms of second order ODEs in terms of pre-factors
Authors: Say, Fatih
Ordu Üniversitesi
Keywords: asymptotic approximation; asymptotic expansion; asymptotic beyond all orders; singular perturbation
Issue Date: 2021
Publisher: HACETTEPE UNIV, FAC SCI BEYTEPE
Citation: Say, F. (2021). Late-order terms of second order ODEs in terms of pre-factors. Hacettepe Journal of Mathematics and Statistics, 50(2), 342-350.Doi:10.15672/hujms.657267
Abstract: Factorial over a power approach is one of the fundamental techniques for deriving the late-order terms in the asymptotic approximation of integrals and differential equations. To our knowledge, although many differential equations depending on small or large parameters are addressed thoroughly and intensively by this approach in the literature to date, no explicit formula of the general representation of singularly-perturbed second order inhomogeneous ODEs in the form of this paper has yet been discussed generally in terms of their pre-factors. In this paper, we obtain a leading order asymptotic formula of the general asymptotic expansions suitable for the particular type of ODE by its pre-factors.
Description: WoS Categories : Mathematics; Statistics & Probability Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED) Research Areas : Mathematics Open Access Designations : gold, Green Submitted
URI: http://dx.doi.org/10.15672/hujms.657267
https://www.webofscience.com/wos/woscc/full-record/WOS:000640069900004
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3403
ISBN: 2651-477X
Appears in Collections:Matematik

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