An optimal numerical method for a singularly perturbed boundary value problem with a small parameter multiplying the higher order derivative


Fedorov, D.V. (2003) An optimal numerical method for a singularly perturbed boundary value problem with a small parameter multiplying the higher order derivative. Computational Mathematics and Mathematical Physics, 43, (2), 217 -225.

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Description/Abstract

A method for solving a class of one-dimensional boundary value problems for the reaction–diffusion equation with a small parameter multiplying the higher order derivative is proposed. The method is optimal in the sense that its approximation error is equal (up to a constant) to the lower esti-
mate of the n-width of the compact set consisting of weak (generalized) solutions to problems in the
class.

Item Type: Article
ISSNs: 0965-5425 (print)
Related URLs:
Subjects: T Technology > T Technology (General)
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences
ePrint ID: 23498
Date Deposited: 29 Mar 2006
Last Modified: 27 Mar 2014 18:12
Contact Email Address: vfedorov@progtech.ru
URI: http://eprints.soton.ac.uk/id/eprint/23498

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