Split Local Artificial Boundary Conditions for the Two-Dimensional Sine-Gordon Equation on R<sup>2</sup>
Year: 2011
Communications in Computational Physics, Vol. 10 (2011), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.050610.021210a
Communications in Computational Physics, Vol. 10 (2011), Iss. 5 : pp. 1161–1183
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23