Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775598 | Applied Mathematics and Computation | 2017 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chaolong Jiang, Jianqiang Sun, Haochen Li, Yifan Wang,