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Published in

American Geophysical Union, Water Resources Research, 7(38), p. 21-1-21-5, 2002

DOI: 10.1029/2001wr000721

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An implicit finite difference method for drainage basin evolution

Journal article published in 2002 by Sergio Fagherazzi, Alan D. Howard ORCID, Patricia L. Wiberg
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

In drainage basin evolution models the implementation of sediment transport and sediment balance is constrained by numerical instabilities. In order to overcome these difficulties an implicit finite difference method is proposed. The method simultaneously adjusts the elevation at each node of the numerical grid, is unconditionally stable, and significantly reduces the computational time. The performance of the method is tested and briefly discussed with a numerical example.