Numerical solution of singular perturbation problems by a terminal boundary-value technique
type: Item
instance of: scholarly article
title: Numerical solution of singular perturbation problems by a terminal boundary-value technique
zbMATH Open document ID: 0586.65056
DOI: 10.1007/BF00941284
author: M. K. Kadalbajoo
author: Y. N. Reddy
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: We present a new approach for numerically solving linear singularly perturbed two-point boundary-value problems in ordinary differential equations with a boundary layer on the left end of the interval. The original problem is divided into outer and inner region problems. A terminal boundary condition in implicit form is introduced. Then, the outer region problem is solved as a two-point boundary-value problem (TPBVP), and an explicit terminal boundary condition is obtained. In turn, the inner region problem is modified and solved as a TPBVP using the explicit terminal boundary condition. The proposed method is iterative on the terminal point of the inner region. Three numerical examples have been solved to demonstrate the applicability of the method.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3940641
zbMATH Keywords: boundary layer
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00941284
OpenAlex ID: W2018828182
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description: scientific article; zbMATH DE number 3940641