1. Solusi dengan Pendekatan Numerik

2. Metode Beda Hingga
Persamaan Diferensial Parsial

3. Contoh Aplikasi untuk Gelombang Kinematik
Persamaan Diferensial Parsial
Euler-Backward Difference

4. 2D Kinematic Wave Equations and Discretization
Euler-Backward Difference Method

5. Metode Volume Hingga
In a control volume or a cell, the integral of mass change must be equal to the boundary line integral of flux entering and leaving the cell in a time interval.

6. The Finite Volume Methods
Let apply the above equation in a finite volume cell below. Vector n is the inward normal vector along the cell boundary.
cell

7. The nodes are indexed by j for horizontal or x axis and k for vertical or y axis. The finite volume formulation can be approximated as follows.
The above simple finite volume formulation ends to a central difference finite difference scheme.

8. If we account the more outer ring node values for interpolating the q value when integrating the flux the scheme can be in the following form.

9. This big scheme can be simplified as follows

10. Metode Elemen Hingga