Discrete invariant imbedding for singular boundary value problems with a regular singularity
type: Item
instance of: scholarly article
title: Discrete invariant imbedding for singular boundary value problems with a regular singularity
zbMATH Open document ID: 0625.65068
DOI: 10.1016/0096-3003(87)90074-9
author: M. K. Kadalbajoo
author: K. Santhana Raman
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
review text: A discrete invariant imbedding method is proposed for solving a two-point boundary value problem on the interval [0,b] for a linear second order ordinary differential equation with a singularity of the first kind at \(x=0\). By employing the series expansion on (0,\(\delta\) ], where the free parameter \(\delta\) is the bound for the application of the series expansion near the singularity, the problem is first replaced by a regular one on [\(\delta\),b]. The discrete invariant imbedding method is then applied to solve the problem over the reduced interval. The stability analysis of the method, which can be considered as a kind of three-term recurrence relation, is discussed. Some model problems are solved to compare the numerical results with those of other methods.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4016078
zbMATH Keywords: singular boundary value problems
zbMATH Keywords: regular singularity
zbMATH Keywords: discrete invariant imbedding method
zbMATH Keywords: singularity of the first kind
zbMATH Keywords: series expansion
zbMATH Keywords: stability
zbMATH Keywords: three-term recurrence relation
reviewed by: Taketomo Mitsui
MaRDI profile type: Publication
full work available at URL: 0096-3003(87)90074-9
OpenAlex ID: W2003211047
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description: scientific article; zbMATH DE number 4016078