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Computational Techniques and Applications Conference and Workshops - CTAC99
September 20-24, 1999
The Australian National University
Canberra, ACT, Australia

Organizers
Mike Osborne, Bob Gingold, Steve Roberts, David Harrar II, Thanh Tran, Bob Anderssen, Henry Gardner, Markus Hegland, Lutz Grosz

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An Implicit Finite Difference Approximation to the One-Dimensional Transport Equation
by
Rob May
RMIT
Coauthors: Frank Polanco (AMRL)

An implicit finite difference approximation of the one dimensional transport equation is investigated. The finite difference scheme is second order in both time and space. The approximation of the time derivative involves three time levels and allows for varying time-steps. The diffusive term is approximated by a central difference, while the convective term is approximated by a linear weighting between an upwind biased difference and a central difference.

The modified equivalent partial differential equation is used to determine the phase and amplitude characteristics of the finite difference scheme. Results of numerical experiments which confirm these characteristics are presented together with a comparison of this scheme with other methods.

Date received: July 30, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadk-80.