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Analysis of explicit difference methods for a diffusion-convection equation

✍ Scribed by J. L. Siemieniuch; I. Gladwell

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
850 KB
Volume
12
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

We consider the numerical solution of a model one‐dimensional diffusion‐convection equation by a variety of explicit finite difference methods including conventional central and upwind replacements of the convection terms. We discuss commonly observed phenomena such as instability, unwanted oscillations in the numerical solution, and numerical diffusion and we present an analysis of these effects by simple mathematical techniques.

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