| Abstract: |
| Applying One-step Semi-Lagrangian forward method to the nonlinear Kortewegde
Vries (KdV) equation, we investigated the numerical solutions of the KdV
equation with three sets of initial data. The main difficulty was the interpolations
from the irregularly distributed Lagrangian grid to the regularly distributed
Eulerian grid. Two treatments were studied as local four points cubic
interpolation and the cubic spline interpolation. The numerical solutions generated
by the Zabusky and Kruskal scheme and Semi-Lagrangian forward method
were compared. |
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