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U.W. Bangor - School of Informatics - Mathematics Preprints 1997

Computational Applied Mathematics


97.08 : GARDNER, L.R.T., GARDNER, G.A. & ABDULLAH, M.F.

Simulations of Boussinesq solitons

Abstract:

Solutions of the "good" Boussinesq equation are studied numerically using a quintic B-spline finite element method. Numerical experiments show that the motion and interaction of solitons is well represented and demonstrate a high degree of conservation. The development of an initial condition based upon the soliton solution of the "bad" Boussinesq equation is studied in detail.

Published in:

Computer Methods in Applied Mechanics and Engineering (accepted subject to minor modifications)


97.13 : GARDNER, L.R.T., GARDNER, G.A., AYOUB, F.A. & AMEIN,N.K.

Approximations of solitary waves of the MRLW equation by B-spline finite elements

Abstract:

The modified regularised long wave equation is solved numerically by the B-spline finite element method. Three polynomial invariant conditions are reported. Solitary wave development, motion, and interaction are studied through computer simulation. Earlier estimates of the magnitude of the coefficient of inelasticity are confirmed. The development of a Maxwellian initial condition into solitary waves is shown to mimic that of the RLW equation.

Published in:

The Arabian Journal for Science and Engineering 22 (1997) 183-193.


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