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
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.
Computer Methods in Applied Mechanics and Engineering
(accepted subject to minor modifications)
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
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
The development of a Maxwellian initial condition into solitary waves
is shown to mimic that of the RLW equation.
The Arabian Journal for Science and Engineering
22 (1997) 183-193.