# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## Robust numerical method for a singularly perturbed equation with unboundedly growing convective term at infinity

**Department of Mathematical Science,**

Dublin Institute of Technology (Dublin,

Ireland),

Institute of Mathematics and Mechanics,

Ural Branch of Russian Academy of Sciences
documentstyle[12pt]{article}
title{Robust numerical method for a singularly perturbed equation with
unboundedly growing convective term at infinity}
author{Aliona I. Dreglea, Grigori I. Shishkin}
date{}
begin{document}
maketitle

Diriclet's problem for a singularly perturbed ordinary differential
convection-diffusion equation is considered. The convective term grows
at infinity as $O(x)$. Two characteristic scales are observed for this
problem on the semiaxis, i.e., regular and boundary layer scales that
are controlled by the data of the reduced problem and by the perturbation parameter $epsilon$. For finite $epsilon$, such a problem models Blasius' problem arising in the study of self-similar flow of viscous incompressible liquid. Using special meshes condensing in the boundary layer, we construct schemes on meshes with finite and infinite numbers of nodes whose solutions are $epsilon$-uniformly convergent on the semiaxis.

Acknowledgements. This work was supported by the Russian Foundation for Basic Research under grant No. 04-01-00578.
end{document}

*Note. Abstracts are published in author's edition*

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Last update: 06-Jul-2012 (11:52:06)