A semi-implicit spectral deferred correction method for two water wave models with nonlocal viscous term and numerical study of their decay rates

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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