The Effect of Spatial Discretization on the Steady-State and Transient Solutions of a Dispersive Wave Equation
Abstract
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 techniques. The discretization is shown to both decrease the rate of spatial decay of the steady-state solution, and to introduce additional new transients at least as persistent as those in the differential case.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- April 1977
- DOI:
- 10.1016/0021-9991(77)90068-7
- Bibcode:
- 1977JCoPh..23..364S