A computational technique for solving boundary value problem with two small parameters

In this article we study a singularly perturbed boundary-value problem for a delay differential equation with a small delay parameter in the first derivative term whose solution has a single boundary layer. The proposed method is shown to be stable, and its performance is confirmed with examples...

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Main Author: Devendra Kumar
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/30/abstr.html
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spelling doaj-7ce352d69d524bd0b12d30d6fd2c1b812020-11-24T22:05:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201330,110A computational technique for solving boundary value problem with two small parametersDevendra KumarIn this article we study a singularly perturbed boundary-value problem for a delay differential equation with a small delay parameter in the first derivative term whose solution has a single boundary layer. The proposed method is shown to be stable, and its performance is confirmed with examples. http://ejde.math.txstate.edu/Volumes/2013/30/abstr.htmlFinite difference methodsingular perturbationdelay differential equationnegative shift
collection DOAJ
language English
format Article
sources DOAJ
author Devendra Kumar
spellingShingle Devendra Kumar
A computational technique for solving boundary value problem with two small parameters
Electronic Journal of Differential Equations
Finite difference method
singular perturbation
delay differential equation
negative shift
author_facet Devendra Kumar
author_sort Devendra Kumar
title A computational technique for solving boundary value problem with two small parameters
title_short A computational technique for solving boundary value problem with two small parameters
title_full A computational technique for solving boundary value problem with two small parameters
title_fullStr A computational technique for solving boundary value problem with two small parameters
title_full_unstemmed A computational technique for solving boundary value problem with two small parameters
title_sort computational technique for solving boundary value problem with two small parameters
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2013-01-01
description In this article we study a singularly perturbed boundary-value problem for a delay differential equation with a small delay parameter in the first derivative term whose solution has a single boundary layer. The proposed method is shown to be stable, and its performance is confirmed with examples.
topic Finite difference method
singular perturbation
delay differential equation
negative shift
url http://ejde.math.txstate.edu/Volumes/2013/30/abstr.html
work_keys_str_mv AT devendrakumar acomputationaltechniqueforsolvingboundaryvalueproblemwithtwosmallparameters
AT devendrakumar computationaltechniqueforsolvingboundaryvalueproblemwithtwosmallparameters
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