Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations

Table 1

Errors and rates of convergence for Scheme A with different ℎ and 𝜏 at time 𝑇=1.

(ℎ, 𝜏)	𝑒(ℎ,𝜏)	rate1	𝜂(ℎ, 𝜏)	rate2
(0.2, 0.1)	1.1043𝑒−002	—	2.8775𝑒−002	—
(0.1, 0.05)	2.8652𝑒−003	1.95	7.4419𝑒−003	1.95
(0.05, 0.025)	7.2560𝑒−004	1.98	1.8886𝑒−003	1.98
(0.025, 0.0125)	1.8673𝑒−004	1.96	4.7767𝑒−004	1.98