Development of an algorithm for calculating stable solutions of the Saint-Venant equation using an upwind implicit difference scheme
Journal: Eastern-European Journal of Enterprise Technologies
Year: 2021

The problem of numerical determination of Lyapunov-stable (exponential stability) solutions of the Saint-Venant equations system has remained open until now. The authors of this paper previously proposed an implicit upwind difference splitting scheme, but its practical applicability was not indicated there. In this paper, the problem is solved successfully, namely, an algorithm for calculating Lyapunov-stable solutions of the Saint-Venant equations system is developed and implemented using an up