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A second order scheme for a time-dependent, singularly perturbed convection-diffusion equation
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Scientific Computing.
2002 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 143, no 1, 49-68 p.Article in journal (Refereed) Published
Abstract [en]

We consider a numerical scheme for a one-dimensional, time-dependent, singularly perturbed convection-diffusion problem. The problem is discretized in space by a standard finite element method on a Bakhvalov-Shishkin type mesh. The space error is measured in an L2 norm. For the time integration, the implicit midpoint rule is used. The fully discrete scheme is shown to be convergent of order 2 in space and time, uniformly in the singular perturbation parameter. © 2002 Elsevier Science B.V. All rights reserved.

Place, publisher, year, edition, pages
2002. Vol. 143, no 1, 49-68 p.
Keyword [en]
Convection-diffusion, Initial-boundary value problem, Second order scheme, Singular perturbation
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46995DOI: 10.1016/S0377-0427(01)00502-7OAI: oai:DiVA.org:liu-46995DiVA: diva2:267891
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Lenferink, Wilhelmus

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