Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3866

 Title: Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation Authors: Angelow, KrassimirKolkovska, Natalia Keywords: Two Dimensional Boussinesq EquationTraveling Wave Solutions (TWS)High Order Finite Dierence SchemesAsymptotic 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]. URI: http://hdl.handle.net/10525/3866 ISSN: 1312-6555 Appears in Collections: Volume 13, Number 1-2

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