High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems

Table 1

The 𝐿²-norm and CPU time for the second-order schemes.

Scheme	𝑁=40, Δ𝑡=ℎ		𝑁=60, Δ𝑡=ℎ
	𝐿^2-norm	CPU time; (s)	𝐿^2-norm	CPU time; (s)
PR	5.8154×10^−4	0.125000	2.5959×10^−4	0.406250
Dou	5.7463×10^−4	0.125000	2.5751×10^−4	0.390625
LOD; (𝜃=0.25)	6.2814×10^−3	0.140625	3.9884×10^−3	0.437500
LOD; (𝜃=0.5)	6.3956×10^−3	0.140625	4.0402×10^−3	0.437500