Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis

Authors:
Chunxiong Zheng
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
2007

Citing 0
Cited 6

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Abstract

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.