Analysis of explicit difference methods for a diffusion‐convection equation
- 1 January 1978
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 12 (6), 899-916
- https://doi.org/10.1002/nme.1620120603
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.This publication has 15 references indexed in Scilit:
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