High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems

Table 2

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

Scheme	𝑁=20, Δ𝑡=ℎ^2		𝑁=40, Δ𝑡=ℎ^2
	𝐿^2-norm	CPU time; (s)	𝐿^2-norm	CPU time; (s)
CPR	5.6026×10^−7	0.375000	3.5894×10^−7	5.156250
CDou	5.1636×10^−7	0.562500	3.3038×10^−7	6.578125
LOD; (𝜃=0.25)	5.1383×10^−4	0.390625	1.2695×10^−4	5.265625
LOD; (𝜃=0.5)	5.1397×10^−4	0.390625	1.2694×10^−4	5.265625