Abstract

The paper considers stationary propagating wave solutions to a two dimensional Boussinesq equation. It is nonlinear, fourth order, elliptic equation. A new boundary condition (BC) on the computational boundary is proposed and applied. The numerical algorithm for computation of stationary propagating waves is based on high order accurate finite difference schemes. The performed numerical tests confirm the validity of the new BC. A comparison with the known in the literature formulas is also given.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 1
Year: 2019

DOI: 10.12732/ijam.v32i1.13

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