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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.

Record type: Article

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.

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Published date: 2003

Identifiers

Local EPrints ID: 23498
URI: http://eprints.soton.ac.uk/id/eprint/23498
ISSN: 0965-5425
PURE UUID: 66cb5c73-3293-4b2f-b679-384db5ba4a8f

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Date deposited: 29 Mar 2006
Last modified: 17 Jul 2017 16:17

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Contributors

Author: D.V. Fedorov

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