@Article{CiCP-10-1161,
author = {Houde Han and Zhiwen Zhang},
title = {Split Local Artificial Boundary Conditions for the Two-Dimensional Sine-Gordon Equation on R<sup>2</sup>},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {5},
pages = {1161--1183},
abstract = {<p style="text-align: justify;">In this paper the numerical solution of the two-dimensional sine-Gordon
equation is studied. Split local artificial boundary conditions are obtained by the operator
splitting method. Then the original problem is reduced to an initial boundary
value problem on a bounded computational domain, which can be solved by the finite
difference method. Several numerical examples are provided to demonstrate the effectiveness
and accuracy of the proposed method, and some interesting propagation and
collision behaviors of the solitary wave solutions are observed.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050610.021210a},
url = {http://global-sci.org/intro/article_detail/cicp/7479.html}
}