In this paper, based on the multi-symplectic formulations of the generalized
fifth-order KdV equation and the averaged vector field method, two new energypreserving
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.