Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs

Figure 2

Waveforms of nonlinear Klein-Gordon equation by the nonstandard finite difference variational integrator (3.21) (Δ𝑡=0.01, Δ𝑥=0.01).

(a)   Waveforms at the beginning from 𝑡=0 to 𝑡=2

(b) Waveforms from 𝑡=5 to 𝑡=8