Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation

Krassimir Angelow, Natalia Kolkovska

Abstract


The aim of this paper is to evaluate stationary
propagating wave solutions to the two dimensional Boussinesq
equation. To solve the resulting nonlinear fourth order elliptic
problem we use a combination of high order finite difference
schemes, an iterative procedure and new asymptotic boundary
conditions. A number of numerical results are obtained for the
validation of the method and for the dependence of the wave's
shape on the velocity c and dispersion parameters. We also give a
comparison with the numerical results and best-fit formulae given in [4, 5].


Keywords


two dimensional Boussinesq equation, traveling wave solutions (TWS), high order nite dierence schemes, asymptotic boundary conditions

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ISSN 1314-7897 - Online
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