Singularly perturbed boundary value problems for a class of second order turning point on infinite interval
type: Item
instance of: scholarly article
title: Singularly perturbed boundary value problems for a class of second order turning point on infinite interval
zbMATH Open document ID: 1260.34116
author: Haibo Lu
author: Limeng Wu
author: Mingkang Ni
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2012-12-06T00:00:00Z
review text: An asymptotic solution of the singularly perturbed boundary value problem \[ \begin{aligned} &\epsilon y''+x^2y'+\left(2x-\epsilon Px^2\right)y=0,\;x\in \mathbb R, \\ &y(\pm\infty),\;y(0+)=A,\;y(0-)=B, \end{aligned} \] with positive constants \(A,B\) and \(P\) is constructed. The analysis is based on using asymptotic expansion techniques and confluent hypergeometric functions. Finally, the accuracy of the approximation is discussed in detail.
reviewed by: Robert Vrabel
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 6113026
zbMATH Keywords: singular perturbation
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: turning point
MaRDI profile type: Publication
full work available at URL: s10255-012-0164-4
OpenAlex ID: W2009234717
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DOI: 10.1007/S10255-012-0164-4
description: scientific article; zbMATH DE number 6113026