An implicit finite difference approximation to the one-dimensional transport equation
Polanco, Frank G. ; May, Robert L.
ANZIAM Journal, Tome 42 (2000), / Harvested from Australian Mathematical Society
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The properties of an implicit three-level finite difference scheme are investigated. The modified equivalent partial differential equation is used to determine the speed and amplitude characteristics of the scheme, and these are used to determine the optimal value of the weighting between a central difference and an upwind biased difference. Results of numerical experiments that confirm that the predicted value of the weight does minimise the error are presented.

Publié le : 2000-01-01
DOI : https://doi.org/10.21914/anziamj.v42i0.641 
@article{641,
     title = {An implicit finite difference approximation to the one-dimensional transport equation},
     journal = {ANZIAM Journal},
     volume = {42},
     year = {2000},
     doi = {10.21914/anziamj.v42i0.641},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/641}
}

Polanco, Frank G.; May, Robert L. An implicit finite difference approximation to the one-dimensional transport equation. ANZIAM Journal, Tome 42 (2000) . doi : 10.21914/anziamj.v42i0.641. http://gdmltest.u-ga.fr/item/641/