TY - JOUR
T1 - Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations
AU - Pelloni, Beatrice
PY - 2001/4
Y1 - 2001/4
N2 - We analyze a fully discrete spectral method for the numerical solution of the initial- and periodic boundary-value problem for two nonlinear, nonlocal, dispersive wave equations, the Benjamin?Ono and the Intermediate Long Wave equations. The equations are discretized in space by the standard Fourier?Galerkin spectral method and in time by the explicit leap-frog scheme. For the resulting fully discrete, conditionally stable scheme we prove an L2-error bound of spectral accuracy in space and of second-order accuracy in time.
AB - We analyze a fully discrete spectral method for the numerical solution of the initial- and periodic boundary-value problem for two nonlinear, nonlocal, dispersive wave equations, the Benjamin?Ono and the Intermediate Long Wave equations. The equations are discretized in space by the standard Fourier?Galerkin spectral method and in time by the explicit leap-frog scheme. For the resulting fully discrete, conditionally stable scheme we prove an L2-error bound of spectral accuracy in space and of second-order accuracy in time.
U2 - 10.1016/S0168-9274(00)00027-1
DO - 10.1016/S0168-9274(00)00027-1
M3 - Article
SN - 0168-9274
VL - 37
SP - 95
EP - 107
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 1-2
ER -