A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient

A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient

In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection coefficient and source term. An error estimate is deri...

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Bibliographic Details
Main Author: V. Subburayan
Format: Article
Language:English
Published: Emerald Publishing 2016-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Singularly perturbed problem
Convection–diffusion problem
Discontinuous convection coefficient
Shishkin mesh
Delay
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516615000298
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spelling doaj-5d68b9497ab046b7b7487ec280247a912021-05-02T17:10:55ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662016-07-0122219120610.1016/j.ajmsc.2015.07.001A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficientV. SubburayanIn this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection coefficient and source term. An error estimate is derived by using the supremum norm and it is of almost first order convergence. Numerical results are provided to illustrate the theoretical results.http://www.sciencedirect.com/science/article/pii/S1319516615000298Singularly perturbed problemConvection–diffusion problemDiscontinuous convection coefficientShishkin meshDelay
collection DOAJ
language English
format Article
sources DOAJ
author V. Subburayan
spellingShingle V. Subburayan
A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
Arab Journal of Mathematical Sciences
Singularly perturbed problem
Convection–diffusion problem
Discontinuous convection coefficient
Shishkin mesh
Delay
author_facet V. Subburayan
author_sort V. Subburayan
title A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
title_short A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
title_full A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
title_fullStr A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
title_full_unstemmed A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
title_sort parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient
publisher Emerald Publishing
series Arab Journal of Mathematical Sciences
issn 1319-5166
publishDate 2016-07-01
description In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection coefficient and source term. An error estimate is derived by using the supremum norm and it is of almost first order convergence. Numerical results are provided to illustrate the theoretical results.
topic Singularly perturbed problem
Convection–diffusion problem
Discontinuous convection coefficient
Shishkin mesh
Delay
url http://www.sciencedirect.com/science/article/pii/S1319516615000298
work_keys_str_mv AT vsubburayan aparameteruniformnumericalmethodforsingularlyperturbeddelayproblemswithdiscontinuousconvectioncoefficient
AT vsubburayan parameteruniformnumericalmethodforsingularlyperturbeddelayproblemswithdiscontinuousconvectioncoefficient
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