The Effect of Spatial Discretization on the Steady-State and Transient Solutions of a Dispersive Wave Equation
Final rept. Jan-Mar 1976
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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The study of the dispersive wave equation is fundamental to an understanding of the process of geostrophic adjustment. In this report, the effect of replacing the spatial derivatives in a dispersive wave equation with second order, centered finite differences is examined with the use of Fourier Transform methods. The discretization is shown to both decrease the rate of spatial decay of the steady state solution, and to introduce additional transients at least as persistent as those in the differential case.
- Numerical Mathematics