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.

Full Text:

PDF


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


Statistics


Total abstract view - 547
Downloads (from 2020-06-17) - PDF - 0

Indicators



Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Annales UMCS Sectio AI Informatica

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.