Abstract
A correction for truncation errors associated with a finite-difference solution of the advection-dispersion equation with reaction is developed from a Taylor analysis. An explicit finite-difference scheme is used to show the effect of these truncation errors on the solution of an advection-dispersion equation with a first-order reaction term. The criteria for the stability of the finite-difference solutions are derived using a matrix method proposed by Smith (1978). Comparison with an analytical solution shows that the uncorrected errors are not negligible and that by correcting the finite-difference scheme for them the results will be more accurate. The approach can also be used for correcting other finite-difference schemes whenever they do not have second-order accuracy.
| Original language | English |
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| Pages (from-to) | 149-156 |
| Number of pages | 8 |
| Journal | Journal of Contaminant Hydrology |
| Volume | 23 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - Jun 1996 |
| Externally published | Yes |