期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 29, 期 6, 页码 2494-2506出版社
SIAM PUBLICATIONS
DOI: 10.1137/050640643
关键词
sine-Gordon equation; unbounded domains; nonreflecting boundary conditions; inverse scattering
Numerical simulation of the solution to the sine-Gordon equation on the whole real axis is considered in this paper. Based on nonlinear spectral analysis, exact nonreflecting boundary conditions are derived at two artificially introduced boundary points. Then a numerical scheme of second order is proposed to approximate the solution. In the end, some numerical examples are provided to demonstrate the effectiveness of the proposed scheme.
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