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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 10 Errors and computational orders of central difference scheme with \(\beta =\frac{1}{10}\) for W

h	τ	\(\\|W-w\\|_{L^{\infty }}\)	order≈	\(\\|W-w\\|_{L^{2}}\)	order≈	CPU (s)
\(\frac{1}{10}\)	\(\frac{1}{{10}^{2}}\)	1.146e−01	–	3.162e−02	–	0.242853
\(\frac{1}{20}\)	\(\frac{1}{{20}^{2}}\)	2.780e−02	2.04	7.803e−03	2.02	1.429410
\(\frac{1}{30}\)	\(\frac{1}{{30}^{2}}\)	1.239e−02	1.99	3.480e−03	1.99	13.395006
\(\frac{1}{40}\)	\(\frac{1}{{40}^{2}} \)	6.961e−03	2.00	1.958e−03	2.00	53.665479
\(\frac{1}{50}\)	\(\frac{1}{{50}^{2}}\)	4.453e−03	2.00	1.253e−03	2.00	160.600921
\(\frac{1}{60}\)	\(\frac{1}{{60}^{2}}\)	3.092e−03	2.00	8.699e−04	2.00	411.886623