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A uniform numerical method for dealing with a singularly perturbed delay initial value problem

โœ Scribed by I.G. Amiraliyeva; F. Erdogan; G.M. Amiraliyev

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
255 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

a b s t r a c t

This work deals with a singularly perturbed initial value problem for a quasi-linear secondorder delay differential equation. An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results are also presented.

๐Ÿ“œ SIMILAR VOLUMES

A novel method for a class of parameteri
A novel method for a class of parameterized singularly perturbed boundary value problems
โœ Feng Xie; Jian Wang; Weijiang Zhang; Ming He ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

In this paper a novel approach is presented for solving parameterized singularly perturbed two-point boundary value problems with a boundary layer. By the boundary layer correction technique, the original problem is converted into two non-singularly perturbed problems which can be solved using tradi