Year: 2017
Author: Qi Hong, Yushun Wang, Qikui Du
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 1206–1224
Abstract
In this paper, based on the multi-symplectic formulations of the generalized fifth-order KdV equation and the averaged vector field method, two new energy-preserving methods are proposed, including a new local energy-preserving algorithm which is independent of the boundary conditions and a new global energy-preserving method. We prove that the proposed methods preserve the energy conservation laws exactly. Numerical experiments are carried out, which demonstrate that the numerical methods proposed in the paper preserve energy well.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2016-0044
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 1206–1224
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Generalized fifth-order KdV equation local energy-preserving global energy-preserving average vector field Fourier pseudospectral.
Author Details
-
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation
Cai, Jiaxiang | Chen, Juan | Chen, MinDiscrete & Continuous Dynamical Systems - B, Vol. 27 (2022), Iss. 5 P.2441
https://doi.org/10.3934/dcdsb.2021139 [Citations: 1] -
Linear and Hamiltonian-conserving Fourier pseudo-spectral schemes for the Camassa–Holm equation
Hong, Qi | Gong, Yuezheng | Lv, ZhongquanApplied Mathematics and Computation, Vol. 346 (2019), Iss. P.86
https://doi.org/10.1016/j.amc.2018.10.043 [Citations: 3] -
Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation
Hong, Qi | Wang, Yushun | Gong, YuezhengNumerical Methods for Partial Differential Equations, Vol. 36 (2020), Iss. 2 P.394
https://doi.org/10.1002/num.22434 [Citations: 6]