An optimal numerical method for a singularly perturbed boundary value problem with a small parameter multiplying the higher order derivative
An optimal numerical method for a singularly perturbed boundary value problem with a small parameter multiplying the higher order derivative
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.
217 -225
Fedorov, D.V.
42402ab4-f820-4890-aae2-1cac0b36b529
2003
Fedorov, D.V.
42402ab4-f820-4890-aae2-1cac0b36b529
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), .
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
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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: 08 Jan 2022 15:51
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Author:
D.V. Fedorov
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