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 |
| Item ID: | 23498 |
| Date Deposited: | 29 Mar 2006 |
| Last Modified: | 02 Mar 2012 13:26 |
| Contributors: | Fedorov, D.V. (Author) |
| Date: | 2003 |
| Status: | Published |
| Contact Email Address: | vfedorov@progtech.ru |
| URI: | http://eprints.soton.ac.uk/id/eprint/23498 |
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