Abstract
The Saint-Venant Equation (SVE) is the equation that describes the flow below a pressure surface in a fluid in unidirectional form. The SVE is in the form of partial differential equations. To solve the partial differential equations is rather complicated than the ordinary differential equations analytically and numerically. In this paper, we construct numerical schemes of the SVE by changing it into semi-discrete equation by using a finite difference in space (x) such that the SVE becomes ordinary differential equations (ODEs). Furthermore we solve the semi-discrete form of SVE by using Runge-Kutta fourth-order method since this method has smaller error and higher accuracy than the others method to solve ODE.
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