Higher order methods for convection-diffusion problems
β Scribed by J.D. Murphy; P.M. Prenter
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 681 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0045-7930
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π SIMILAR VOLUMES
The method of lines provides a Β―exible and general approach for solving time-dependent PDEs. However, the numerical solution of the resulting ODE system can present certain diculties depending on the method used. In particular, oscillations may appear in the solution when standard methods are applie
In this paper, a high-order upwind method for the convection-diffusion problems is proposed. The scheme satisfies the maximum principle, overcomes numerical oscillation, and has astonishingly high-order computing accuracy. At the same time, the error estimates O(h'~~c'"'~~,,) in d' lscrete L', H1 a