A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations

A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations

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

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Bibliographic Details
Main Authors: Ishwariya Raj, Princy Mercy Johnson, John J.H Miller, Valarmathi Sigamani
Format: Article
Language:English
Published: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics 2016-09-01
Series:Biomath
Subjects:
Singular Perturbation Problems, boundary layers, nonlinear differential equations, finite difference schemes, Shishkin mesh, parameter uniform convergence.
Online Access:http://www.biomathforum.org/biomath/index.php/biomath/article/view/573

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