Numerical Computation of Stationary Solitary Waves to 2D Boussinesq Equation

Authors

  • Krassimir Angelow* PhD student, IMI BAS
  • Natalia Kolkovska

DOI:

https://doi.org/10.11145/309

Abstract

The aim of this work is to evaluate stationaryВ  moving solitary wave solutions to the 2D BoussinesqВ  equation. To solve the resulting nonlinear fourth order ellipticВ  problem we use aВ  combination of high order finite differenceВ  schemes, an iterative procedureВ  andВ  new asymptotic boundary conditions.

Numerical tests with several finite difference schemes (of 2nd, 4th, and 6th order of approximation), a variety of parameters of the problemВ  and two initial approximations for the iterative process (the best fit formulas given inВ  in the paper "C. I. Christov, J. Choudhury, Mech. Res. Commun., 38 (2011)В  274 - 281" and the solution to the ground state equation) show that the numerical solutionsВ  converge with a high accuracy to the one and the same solution of the initial problem.


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Published

2014-04-25

Issue

Vol. 1 No. 1 (2014)

Section

Conference Contributions

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