Simple Numerical Schemes for the Korteweg-deVries Equation
Two numerical schemes, which simulate the propagation of dispersive non-linear waves, are described. The first is a split-step Fourier scheme for the Korteweg-de Vries (KdV) equation. The second is a finite-difference scheme for the modified KdV equation. The stability and accuracy of both schemes are discussed. These simple schemes can be used to study a wide variety of physical processes that involve dispersive nonlinear waves.
- Research Organization:
- University of Rochester, Rochester, NY (US)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- FC03-92SF19460
- OSTI ID:
- 769392
- Report Number(s):
- DOE/SF-19460-372; TRN: US0201355
- Resource Relation:
- Other Information: PBD: 1 Dec 2000
- Country of Publication:
- United States
- Language:
- English
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