Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I

Magdalena Lapinska-Chrzczonowicz, Piotr Matus

Abstract


he initial-boundary value problem for a convection-diffusion equationis considered. The difference scheme, approximating this problem, is constructed. It is shown thatfor traveling wave solutions the scheme is exact (EDS). The monotonicity of the scheme is also takeninto consideration. Presented numerical experiments illustrate the theoretical results investigated inthe paper.

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DOI: http://dx.doi.org/10.2478/v10065-012-0045-8
Date of publication: 2015-01-04 00:00:00
Date of submission: 2016-04-28 09:09:38


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