TY - JOUR
T1 - Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation
AU - Hong , Qi
AU - Wang , Yushun
AU - Du , Qikui
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1206
EP - 1224
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.OA-2016-0044
UR - https://global-sci.org/intro/article_detail/aamm/12197.html
KW - Generalized fifth-order KdV equation, local energy-preserving, global energy-preserving,  average vector field, Fourier pseudospectral.
AB - <p style="text-align: justify;">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.</p>