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Numerical Solution of a KdV Equation, Model of a Free Surface Flow

Wiryanto, Leo


A KdV equation is considered as a model of free surface flow disturbed by a bump. The equation has a parameter related to the Froude number, defined as the upstream flow, and it has a forcing term as representation of the bottom topography. From the analytical solution, that can be obtained for special case of the bottom topography, i.e when it is a solitary form of secant hyperbolic function, a numerical method is developed to confirm that solution. The method is based on a finite difference....[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Applied Mathematical Sciences
DOI: 10.12988/ams.2014.46404


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