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

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.

Identifiers

DOI

10.1137/050640643

Citations and references