DOIAbstract
AbstractAn algorithm is presented for the Fourier pseudospectral solution of the regularised long wave (RLW) equation. The semi-discrete equations satisfy the energy conservation condition of the RLW equation. Numerical results are presented to show that the scheme can resolve the fine structure of wave interaction problems. Evidence is presented to show that the popular second-order leap-frog time discretisation will produce high accuracy only if the time-step is well below the linear stability limit. By considering linear and nonlinear models a case is made for the use of higher-order accuracy in time
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