Two Dimensional Boussinesq Equation Traveling Wave Solutions (TWS) High Order Finite Dierence Schemes Asymptotic Boundary Conditions
Issue Date:
2019
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Journal of Computing, Vol. 13, No 1-2, (2019), 001p-016p
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].
