SIMULATIONS OF THE EW UNDULAR BORE

The equal width equation is solved by a Petrov-Galerkin method using q uadratic B-spline spatial finite elements. A linear recurrence relatio nship for the numerical solution of the resulting system of ordinary d ifferential equations is obtained via a Crank-Nicolson approach involv ing a product approximation, The motion of solitary waves is studied t o assess the properties of the algorithm. The development of an EW und ular bore is investigated and compared with that of the RLW bore. (C) 1997 by John Wiley & Sons, Ltd.