A fourth-order AVF method for the numerical integration of sine-Gordon equation

Chaolong Jiang, Jianqiang Sun, Haochen Li and Yifan Wang

Applied Mathematics and Computation, 2017, vol. 313, issue C, 144-158

Abstract: In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-Gordon equation with periodic boundary conditions. It is obtained by the Fourier pseudo-spectral method and the fourth order average vector field method. In numerical experiments, the new high order energy-preserving scheme is compared with a number of existing numerical schemes for the one dimensional sine-Gordon equation. The new high order energy-preserving scheme for the two dimensional sine-Gordon equation is also investigated. Numerical results are addressed to further illustrate the conservation of energy and the evolutional behaviors of solitons.

Keywords: Energy-preserving; Average vector field method; Pseudo-spectral method; Sine-Gordon equation; Soliton (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:313:y:2017:i:c:p:144-158

DOI: 10.1016/j.amc.2017.05.055

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