Compact difference scheme for two-dimensional fourth-order hyperbolic equation

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 8 Errors and computational orders of central difference scheme with \(\beta =10\) for V

h	τ	\(\\|V-v\\|_{L^{\infty }}\)	order≈	\(\\|V-v\\|_{L^{2}}\)	order≈	CPU (s)
\(\frac{1}{10}\)	\(\frac{1}{{10}^{2}}\)	1.673e−05	–	9.189e−06	–	0.141896
\(\frac{1}{20}\)	\(\frac{1}{{20}^{2}}\)	4.142e−06	2.01	2.230e−06	2.00	1.483480
\(\frac{1}{30}\)	\(\frac{1}{{30}^{2}}\)	1.844e−06	2.00	1.022e−06	2.00	13.124587
\(\frac{1}{40}\)	\(\frac{1}{{40}^{2}} \)	1.036e−06	2.00	5.752e−07	2.00	53.583567
\(\frac{1}{50}\)	\(\frac{1}{{50}^{2}}\)	6.628e−07	2.00	3.682e−07	2.00	166.170702
\(\frac{1}{60}\)	\(\frac{1}{{60}^{2}}\)	4.603e−07	2.00	2.558e−07	2.00	434.362674