Geodesic
Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation
Serdica Journal of Computing, Tome 13 (2019) no. 1-2, pp. 001-016.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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].
Keywords: Two Dimensional Boussinesq Equation, Traveling Wave Solutions (TWS), High Order Finite Dierence Schemes, Asymptotic Boundary Conditions 
@article{SJC_2019_13_1-2_a0,
     author = {Angelow, Krassimir and Kolkovska, Natalia},
     title = {Numerical {Study} of {Traveling} {Wave} {Solutions} to {2D} {Boussinesq} {Equation}},
     journal = {Serdica Journal of Computing},
     pages = {001--016},
     publisher = {mathdoc},
     volume = {13},
     number = {1-2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJC_2019_13_1-2_a0/}
}
TY  - JOUR
AU  - Angelow, Krassimir
AU  - Kolkovska, Natalia
TI  - Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation
JO  - Serdica Journal of Computing
PY  - 2019
SP  - 001
EP  - 016
VL  - 13
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJC_2019_13_1-2_a0/
LA  - en
ID  - SJC_2019_13_1-2_a0
ER  - 
%0 Journal Article
%A Angelow, Krassimir
%A Kolkovska, Natalia
%T Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation
%J Serdica Journal of Computing
%D 2019
%P 001-016
%V 13
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJC_2019_13_1-2_a0/
%G en
%F SJC_2019_13_1-2_a0
Angelow, Krassimir; Kolkovska, Natalia. Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation. Serdica Journal of Computing, Tome 13 (2019) no. 1-2, pp. 001-016. http://geodesic.mathdoc.fr/item/SJC_2019_13_1-2_a0/