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Title: Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation
Authors: Angelow, Krassimir
Kolkovska, Natalia
Keywords: 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].
ISSN: 1312-6555
Appears in Collections:Volume 13, Number 1-2

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