Volume 10, Issue 5
Split Local Artificial Boundary Conditions for the Two-dimensional Sine-Gordon Equation on R2

Houde Han & Zhiwen Zhang

Commun. Comput. Phys., 10 (2011), pp. 1161-1183.

Published online: 2011-10

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  • Abstract

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.

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@Article{CiCP-10-1161, author = {Houde Han and Zhiwen Zhang}, title = {Split Local Artificial Boundary Conditions for the Two-dimensional Sine-Gordon Equation on R2}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {5}, pages = {1161--1183}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.050610.021210a}, url = {http://global-sci.org/intro/article_detail/cicp/7479.html} }
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