A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations

A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations

In this paper an initial value problem for asemi-linear system of two singularly perturbed first order delay differential equations is considered on the interval(0,2]. The components of the solution of this system exhibit initial layers at 0 and interior layers at 1. A numerical method composed of a...

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Bibliographic Details
Main Authors: Nagaranjan Shivaranjan, John J H Miller, Sigmani Valarmathi
Format: Article
Language:English
Published: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics 2014-12-01
Series:Biomath
Subjects:
Perturbation problems, boundary layers, semi-linear delay differential equations, finite difference schemes, Shishkin mesh, parameter uniform convergence
Online Access:http://www.biomathforum.org/biomath/index.php/biomath/article/view/355

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